CN113080160A

CN113080160A - Method for measuring and comparing sensitivity of fishing group system

Info

Publication number: CN113080160A
Application number: CN202110407767.6A
Authority: CN
Inventors: 李明金; 曾强
Original assignee: Henan University of Technology
Current assignee: Henan University of Technology
Priority date: 2021-04-15
Filing date: 2021-04-15
Publication date: 2021-07-09
Anticipated expiration: 2041-04-15
Also published as: CN113080160B

Abstract

The invention belongs to the technical field of fishing, and discloses a method for measuring and comparing the sensitivity of a fishing group system, which comprises the following steps: step A: when the fish eats the bait, the motion model of the fishing group up and down is selected as an under-damped vibration model; and B: analyzing the influence of four parameter factors of the floating tail diameter, floating belly diameter, floating body dead weight and lead consumption of the fishing group system on the sensitivity of the fishing group system respectively; and C: calculating the influence of four parameter factors on two parameters of the float-phase length S of the fishmouth and the average speed V of the fishing group movement; step D: the mean speed V of the fishing group movement adopts the idea of bisection of the initial value and the calculated value of the speed; step E: the length S of the float phase of the fishmouth is the total length of motion in the first half period of under-damped vibration; step F: the influence proportion of each parameter factor on the sensitivity of the fishing group system is analyzed, so that the practical fishing such as selecting a float and the like is matched with the fishing group for guidance.

Description

Method for measuring and comparing sensitivity of fishing group system

Technical Field

The invention belongs to the technical field of fishing, and mainly relates to a method for measuring and comparing the sensitivity of a fishing group system according to buoy parameters and characteristics of target fish.

Background

For fishing enthusiasts, the expression "this drift, that drift" can be said to be in great detail. The bitter leaves to find a 'Ling' float is a great deal of cumin in the hand so as to be happy in the 'first great affairs'. After a lot of time, effort and money are invested, he may end up finding a careful "clever float" that feels comfortable to use when fishing a certain fish species in a certain season, thus looking at treasure.

However, when the other fish species are fished by the 'smart float' formed by the core blood coagulation, for example, the fishing of crucian with the small-hook bait feels very flexible, the fishing of carp with the large-hook bait is changed, but the 'smart' of the 'smart' float is felt, and the fishing cannot see a clear fish mouth, so that the fishing becomes very blunt. This drift is then in turn suspected, and another situation may arise in the same suspicion. Originally, the relatively thick tail float which feels 'smart' when fishing relatively large fishes is replaced by a small bait to fish small fishes which float when they are not found, and the float is regarded as being out of the spectrum.

Common sense tells us that if something has a certain property, then this property is its "inherent" property and does not change with changes in external environmental conditions. Then, how can the same float neglect? This phenomenon of incompatibilities only illustrates one problem: the float itself has no lington attribute. Therefore, it is not based on whether a specific branch is "spirit" or "dun".

In fact, it is known that, in the field of table fishing, the orders of baits E and hooks G are either too small or too large to achieve and guarantee the sensitivity of the fishing group. In addition, if one hook suitable for the subject fish presses about two meshes of the float tail diameter, or if the float of the float tail diameter makes about two meshes of the hook mesh G suitable for the subject fish, the fishing tackle can have sufficient sensitivity without excessive increase. Therefore, the fishing group can not be over-cured or over-suspended by matching the fishing group. The hook mesh G is the key to the sensitivity of the fishing tackle combination in terms of its function and effect. Therefore, the float is only a sensitivity display measuring tool matched with the fishing group, so that the float per se does not have the characteristics of being flexible, but the fishing group system has the characteristics of being flexible; the sensitivity of the fishing tackle system is a displacement and speed characteristic which is clearly observed by human eyes, in which the force of a fish sucking the bait is clearly expressed in the change of the floating eyes.

Just as we cannot take a meter ruler to measure the peaked beads, nor can it be taken to measure the diameter of the nuclei, since the float is a measurement tool for the sensitivity of the fishing tackle system, this tool needs to be "matched" to the object it measures. The floats with different float tail diameters also have the sensitivity of a fishing group system matched with the floats. For example, if the sensitivity of a large bait fishing group is measured by a thin tail float, the floating eyes can be changed too much by the water flow caused by the fish walking by the suspended bait due to the overlarge hook eyes, and the fish is not lifted from the rod, which indicates that the sensitivity of the fishing group system is too high and is not matched with the thin tail float as a measuring tool. Only one float with a thicker tail can be replaced, and the hook eyes are reduced to about two eyes. If the rough tail is matched with the small hook bait, the hook mesh is too small, then the force of the small fish sucking the hook bait is not easy to drive the rough floating tail to descend, and the floating but middle or dead fish are often not seen, which indicates that the sensitivity of the fishing group system is too low and is not matched with the rough tail float used as a measuring tool. Only one thinner tail float can be replaced, and the hook meshes are increased to about two meshes. Therefore, the two eyes of the hook are about 'matching' between the measuring tool of the float and the measured object of the sensitivity of the fishing group, so that the float can play a good role in the accuracy of the measuring tool of the sensitivity of the fishing group system without 'excess' and 'slowness'. Namely, the fish-growing rate is improved. From this point of view, the two-purpose hook is the key of the sensitivity of the fishing tackle system.

Disclosure of Invention

The invention aims to provide a method for measuring and comparing the sensitivity of a fishing group system according to the buoy parameters and the characteristics of a target fish; the technical scheme adopted for achieving the purpose is as follows:

a method of measuring and comparing the sensitivity of a fishing bank system comprising the steps of:

step A: the stress and the motion condition of the fishing group in water are comprehensively analyzed, when the fish eats bait, the motion model of the fishing group up and down is selected as an under-damped vibration model, and the length of the floating phase of the fishmouth is recorded as: s ═ S₁+S₂＝S₁+S₁e^-βπ＝S₁(1+e^-βπ) Wherein S is the length of the fish mouth bleaching phase, S₁For displacement sensitivity, S₂For speed sensitivity, e^-βπNamely under the action of water resistance, the speed sensitivity S₂Attenuation to displacement sensitivity S₁The ratio of (A) to (B) can be calledAttenuation coefficient, beta is resistance coefficient, pi is the first half period of vibration;

and B: according to the under-damped vibration model in the step A, four parameter factors of the floating tail diameter, the floating belly diameter, the floating body dead weight and the lead consumption of the fishing group system are respectively influenced on the sensitivity of the fishing group system by adopting a control variable analysis method;

and C: the sensitivity of the group system in the step B is expressed by selecting two parameters of the fishmouth bleaching length S and the fishing group motion average speed V, wherein the fishing group motion average speed V is the fishmouth bleaching length S divided by the elapsed time pi; the influence of four parameter factors of the floating tail diameter, the floating belly diameter, the floating body dead weight and the lead eating quantity on two parameters of the floating phase length S of the fishmouth and the average speed V of the fishing group movement is calculated;

step D: in step C, the average fishing group movement speed V is calculated by: by adopting the idea of bisection of the initial value and the calculated value of the speed, and through a plurality of times of iterative calculation, the error of the two speed values is smaller than 1% so as to be self consistent, and the average speed V of the fishing group movement with enough precision is obtained;

step E: in step C, the float phase length S of the fishmouth is the total length of motion in the first half period of the underdamped vibration;

step F: and D, analyzing the influence proportion of each parameter factor on the sensitivity of the fishing group system according to the step D and the step E, and guiding the fishing group collocation including actual fishing such as selecting a buoy and the like.

Preferably, in step B, the control variable analysis method is: three groups of floats are designed, each group of floats comprises three floats,

the group A float consists of three floats A1, A2 and A3, the float tail diameter, float belly diameter and float body self-weight average of the three floats are the same, and lead eating amount is different, so that the quality and water resistance of the fishing group are changed;

the B group of floats consists of three floats, namely a float B1 float, a float B2 float and a float B3 float, only the float tail diameter is changed on the basis of the A group, and the diameters of the rest float tripes, the self weight of the float body and the lead eating amount are the same as those of the A group, namely the float tail diameters of the float B1 float, the float B2 float and the float B3 are equal and are larger than the float tail diameters of the float A1 float, the float A2 float and the float A3 float, namely on the basis of the A group, the elastic coefficient of float vibration in an underdamped vibration model is increased, and the hook mesh is substantially changed;

the group C float consists of three floats of a float C1, a float C2 and a float C3, only the float belly diameter is changed on the basis of the group B, and the diameters of the rest float tails, the self weight of the float body and the lead eating amount are the same as those of the group B, namely, the float belly diameter is increased on the basis of the group B float, namely, the water resistance is changed;

then each float in the three floats is analyzed and calculated to obtain two parameters of the float phase length S of the fish mouth and the average speed V of the fishing group movement, so that the influence proportion of the four parameter factors is analyzed by visual comparison, scientific basis is provided for float selection and fishing adjustment, and the matched fishing group has enough sensitivity without excessive sensitivity.

The invention has the following beneficial effects: according to the invention, the stress and motion conditions of the fishing group in water are comprehensively analyzed, when a fish eats bait, the motion models above and below the fishing group are selected as under-damped vibration models, the influence of four parameter factors including the floating tail diameter, the floating belly diameter, the floating body dead weight and the lead eating amount on two parameters of the floating phase length S of the fish mouth and the average motion speed V of the fishing group is calculated on the basis, and the influence proportion of the four parameter factors is finally contrasted and analyzed, so that scientific basis is provided for selecting and fishing, the matched fishing group has enough sensitivity without excessive sensitivity, and the practical fishing such as selecting a float and the like is guided for the matching of the fishing group.

Drawings

Fig. 1 is a vibration image of the float phase length of the fish mouth.

Detailed Description

The invention is further described below with reference to the accompanying drawings.

As shown in fig. 1, a method of measuring and comparing the sensitivity of a fishing bank system includes the steps of:

step A: the stress and the motion condition of the fishing group in water are comprehensively analyzed, when the fish eats bait, the motion model of the fishing group up and down is selected as an under-damped vibration model, and the length of the floating phase of the fishmouth is recorded as: s ═ S₁+S₂＝S₁+S₁e^-βπ＝S₁(1+e^-βπ) Wherein S is the length of the fish mouth bleaching phase, S₁For displacement sensitivity, S₂For speed sensitivity, e^-βπNamely under the action of water resistance, the speed sensitivity S₂Attenuation to displacement sensitivity S₁The ratio of (a) to (b), which can be referred to as an attenuation coefficient, β is a resistance coefficient, and π is the first half cycle of the vibration;

as shown in fig. 1, the drift body vibrates in simple harmonic without water resistance, and the maximum negative amplitude CD BC is the displacement sensitivity S₁. Actually, the fishing group is subjected to water resistance, mainly the water resistance at the position of the floating body and the lead skin, and under the action of the water resistance, the fishing group does under-damped vibration, so that the maximum negative amplitude can not reach the point D; when the instantaneous speed reaches the point E, the instantaneous speed is zero, and then the vibration is reversely returned; CE is the speed sensitivity S of the fishing group₂(ii) a The sum of the two sensitivities is the floating length S of the fishmouth of the fishing group, S is S₁+S₂。

It can also be seen from figure 1 that the length of shoal float S is the total length of the movement of the first half-cycle of the under-damped oscillation of the tackle assembly, and that due to the synchronous movement of the float, at any point during the period from B to E when the fish sucks the bait to cause the lead weight (float tail) to descend, the float (shoal float) and hence the fish in the rod will be visible to the angler, so that the subsequent oscillation of decreasing amplitude (damping) in figure 1 will not occur, and will not be visible to the angler.

For the analysis of the fishgroup system sensitivity, the half period t ═ pi, so the following cosine function is equal to-1; the "-" sign merely indicates movement below the equilibrium position, and the fishmouth float length S can be expressed as follows:

S＝S₁+S₂＝S₁+S₁e^-βπ＝S₁(1+e^-βπ)

displacement sensitivity S due to influence of drift tail diameter D, i.e. hook eye G₁Always greater than the speed sensitivity S affected by the water resistance f and the quality of the fishing group (sum of the quality of float and lead P + Q)₂Therefore, the hook mesh G determined by the floating tail diameter D is a decisive factor of the sensitivity of the fishing group, and the water resistance and the quality of the fishing group are secondary factors of the sensitivity of the fishing group.

However, many fishing players always feel that the smaller the lead consumption of the float, the more flexible the float is, and even some fishing players feel that the lead consumption is greater than the diameter D of the float tail. According to experimental research, the minimum lead eating quantity Q required by tightening the waterline is 0.32XH, wherein the minimum lead eating quantity Q is the number of X large lines and the length of the H waterline, namely the elastic lead eating quantity formula. It can be seen that if the lead intake is too small to tighten the waterline, the fish suction is too much used to extend the spiraling waterline and the remaining part of the floating tail that is descending is less, i.e. the fish mouth is blurred, i.e. the lead intake that is too small will actually reduce the sensitivity of the fishing tackle.

To definitely determine the influence degree of the factors of the floating tail diameter D and the lead consumption including the lead floating water resistance on the sensitivity of the fishing group, a special case model needs to be established, other factors are fixed, only one factor is changed, and the difference of the influence degree of the change of the factor on the floating phase length S of the fishmouth and the average speed V of the fishing group movement is observed.

In step B, the control variable analysis method is: three groups of floats are designed, each group of floats comprises three floats,

the group A float consists of three floats A1, A2 and A3, the float tail diameter (1 mm), float belly diameter (10 mm) and float body dead weight (2 g) of the three floats are the same, and lead eating amounts are different (2 g, 3 g and 4 g respectively), namely the quality and water resistance of the fishing group are changed;

the B group of floats consists of three floats of B1, B2 and B3, the diameter of the float tail (1.5 mm) is only changed on the basis of the A group, the diameters of the rest float tripes, the self weight of the float body and the lead eating amount are the same as those of the A group, namely the diameters of the float tails of the float B1, the float B2 and the float B3 are equal and are larger than the diameters of the float tails of the float A1, the float A2 and the float A3, namely on the basis of the A group, the elastic coefficient of float vibration in an underdamped vibration model is increased, and the hook mesh is substantially changed;

the float group C consists of three floats of float C1, float C2 and float C3, only the float belly diameter (15 mm) is changed on the basis of the float group B, the diameters of the rest float tails, the self weight of the float body and the lead eating amount are the same as those of the float group B, namely, the float belly diameter is increased on the basis of the float group B, namely, the water resistance is changed;

Firstly, the elastic coefficient k of a drift spring in an underdamped vibration model is calculated, and the value is the cross sectional area A of the drift tail.

For group A, the drift tails are all 1 mm in diameter; the density of the water is 1 g/cm³The following calculations are omitted.

k₁＝A₁＝3.14*(0.1/2)²0.0078 (niu/m/cm)

For both the float B and float C, the float tail diameter is 1.5 mm.

k₂＝A₂＝3.14*(0.15/2)²0.0177 (niu/m)

Determining the force of the same fish to suck the bait, wherein five parts per million of the mass of the target fish is used as the force F of the fish to suck the hook bait_{Suction device}(g force), mixing F_{Suction device}As a force F consumed on the hook bait_{Suction tube 1}The remaining half is used as force F for making the fishmouth float in the fishing group_{Suction 2}. In actual calculations, it can be simplified. Because the fishhook suitable for the subject fish is determined, the floating tail diameter suitable for the fishhook requirement is also determined. Thus, the displacement sensitivity S will not be on the float tail diameter meeting the hook mesh requirement₁The mass of the drift tail volume of water in the range of 2 mesh (or 2 cm) is taken as_{F suction 2}。

No assumption is made that the length of the float tail is 1cm, and F is assumed_{Suction 2}The mesh of the drift tail with the diameter of 1 mm can be reduced by 2 meshes, then F_{Suction 2}＝2k₁0.0156 grams force. Then, on a float having a float tail diameter of 1 mm, the displacement sensitivity S ₁2 meshes. In the same way, F_{Suction 2}Can only reduce the drift eye of the drift tail with the diameter of 1.5 mm (k)₁/k₂) 2 ═ 0.89 mesh. (Note that the length is less than half the diameter of the drift tail of 1 mm! is the inverse square of the drift diameter). I.e. on a float having a float tail diameter of 1.5 mm, the displacement sensitivity S₁0.89 mesh.

Before calculating the water resistance, a reasonable average speed V of the fishing tackle group movement needs to be set initially. According to the good fish mouth floating tail displacement speed characteristic in the actual fishing, the fish can pull down the floating tail with the length of 5cm within 1 second. (it may be 2 cm, and here, the difference in the degree of influence of each parameter on the sensitivity of the fishing group is simply compared, and it is not possible to accurately obtain a specific parameter value. That is, the average fishing tackle-group moving speed V is 0.05 m/s.

A series of calculations for float a1 are detailed below.

The Reynolds number of the movement of the float A1 is:

ReA1＝0.05*0.01/10^-6at 500, laminar flow.

Lead width of lead pick-up (2 g) of float a1 is 1.5cm, i.e. the length of cylindrical lead rolled on a lead block is 1.5cm, its round bottom diameter is:

consists of: 11.34X 3.14X (D/2)²*1.5＝2

The obtained D is 0.39 cm, namely 0.0039 m.

The round bottom diameter of the cylindrical lead weight which has a lead eating amount of 4 grams is 0.0055 meter.

The round bottom diameter of the cylindrical lead weight which has lead feeding quantity of 6 grams is 0.0067 m.

The resistance coefficient Cd of A1 is 0.26 and the resistance coefficient Cd of A1 is 0.54, the water resistance Fd of A1 is 0.5 0.26 1000 (0.05)²*3.14*(0.01/2)²

＝2.55*10^-5(ox)

Water resistance Fd lead A1 ═ 0.5 ═ 0.86 × (0.05) for lead A1²*3.14*(0.0039/2)²

＝1.28*10^-5(ox)

The total water resistance fA1 ═ Fd float A1+ Fd lead A1 ═ 3.83 × 10 in the fishing group^-5(ox)

The drag coefficient gamma of the under-damped vibration of the fishing tackle set is 3.83 x 10^-5/0.05＝7.66*10^-4

Damping coefficient beta of under-damped fishing tackle group vibration is gamma/2 (M + Q) is 7.66 x 10^-4/2*4*10^-3＝0.096

Coefficient of attenuation e^-βπ＝2.71823^-0.096*3.14＝0.74

That is, over half a cycle, the water drag acts to attenuate the "amplitude" of the fishing tackle motion to approximately three quarters of what it originally would have been. One quarter of the attenuation.

Total sensitivity of fishing group s-s 1(1+ e)^-βπ) 2x (1+0.74) 3.48 mesh

Half period of under damped vibration of fishing tackle:

T/2＝π/(ω₀ ²-β²)^0.52.25 (seconds)

Wherein, ω is₀ ²＝k/M

The degree of amplitude decay in the first half-cycle can be measured as the ratio of the decrease in amplitude to the maximum amplitude, referred to as the "half-decay rate":

half-decay rate i (S) of under-damped vibration of fishing tackle set₁-S₂)/S₁＝(2-1.48)/2＝0.26

Analyze this value, if there is no water resistance, at F_{Suction 2}Under the action of the floating tail (fishing group), the floating tail can be lowered by 4 meshes originally, and the lowering length of the floating tail is reduced just because of the water resistance. Then, how different the drift tail diameter and lead eating amount and the drift belly diameter are for the drift of the drift tail diameter and the drift belly diameter, how much the drift tail is reduced by the water resistance? Then, the other fishing groups in the three groups are calculated one by one,

when seeing the lead floating water resistance, when the diameter of the floating belly is 10mm, namely 1cm, and the lead eating amount is 4 g, the lead floating water resistance is the same. The reduction of lead intake will make the water resistance at lead less than that at the float. The water resistance at the lead position is larger than that at the floating position due to the increase of lead eating amount. When the diameter of the floating belly is 15mm, namely 1.5cm, and the lead intake is 4 grams, the water resistance at the lead part is only approximately half of that at the floating part. The lead intake is increased to 6 g, and the water resistance of the lead is only half of that of the floating part. Therefore, for a common float with the float belly diameter of about 1cm and the lead consumption of less than 3 grams, the water resistance at the float is generally greater than that at the lead.

However, the method is based on that the lead body is in a long cylindrical shape, the height of the cylindrical shape reaches more than 3 times of the width of a round bottom, and the resistance coefficient is 0.86. If the lead sheath used is narrow, for example, the width of the round bottom is increased when the lead sheath is reduced from 1.5cm to 0.5cm, the cylindrical lead body is changed into a thin round plate, and the resistance coefficient is sharply increased to 2 to 3 times. Then, for the common lead floating collocation, the water resistance at the lead is larger than that at the floating position.

Since the floating body is generally in an ellipsoidal shape or a nearly streamlined shape, and a sufficient volume is required for carrying heavy lead, it is difficult to try again to reduce the water resistance of the floating part. For effective reduction of the total water resistance of the fishing tackle, the best approach is to take some measures to reduce the water resistance at the lead. Firstly, the lead sheet with larger width is used as much as possible, so that the height of the cylindrical lead weight is increased, and the area of the round bottom which is exposed to water is reduced. Secondly, the two ends of the lead sheath are properly trimmed, and the round bottom plane is changed into a spherical convex surface or a conical shape. And finally, treating the outer surface of the lead weight to be as smooth and as round as possible. These approaches are effective in reducing the water resistance at the lead, thereby reducing the total water resistance experienced by the fishing tackle.

The total sensitivity is increased, the half-decay rate is reduced, and the half-decay rate is obviously reduced; the reduced half-life means that the negative effects of water drag are reduced and the speed sensitivity of the fishing group is increased, thereby increasing the fishmouth float length S.

Then, the average speed V of the fishing group movement is observed, the operation parameters of the under-damped vibration process are more, and the under-damped vibration equation of the fishing group movement is a second-order constant coefficient homogeneous linear differential equation and is difficult to directly solve. Therefore, the idea of bisection of the initial value and the calculated value of the speed can be adopted, and the error of the two speed values is smaller than 1% through a plurality of times of iterative calculation so as to be self consistent, namely the average speed V of the fishing group motion with enough precision is obtained

The difference between the underdamped vibration and the simple harmonic vibration of the fishing group is that the fishing group is subjected to water resistance, which is the speed sensitivity S of the fishing group₂Always less than the displacement sensitivity S₁So that the water resistance term is seen first.

The total water resistance of the fishing tackle group is replaced by the water resistance of the floating part and the lead part. The waterline and floating tail float foot, etc. Now that the actual average fishing group movement speed V has been obtained for each collocated fishing group, the respective reynolds numbers can be recalculated and the appropriate value of the drag coefficient Cd can be selected.

For float a1, Re 0.01697 × 0.01/10^-6＝169

The Reynolds numbers of other drifts are calculated to be less than the drift A1. The smallest is at float B3, 82.

For lead a3, Re 0.01224 × 0.0067/10^-6＝81.7

The reynolds numbers at other leads were calculated to be less than lead a 3. The smallest is at lead C1, 43.8.

Therefore, the Reynolds number at the float is from 82 to 169 and the Reynolds number at the lead is from 43.8 to 81.7.

The floating body is generally an ellipsoid or a near-streamlined body, has a small resistance coefficient, and can also select an original reference value of 0.26. The selection of the resistance coefficient at the lead part is troublesome because a relation curve of the Reynolds number of the cylinder facing water with a round bottom surface and the resistance coefficient cannot be found. The influence of large changes of water resistance at the lead on the sensitivity of the fishing tackle group is considered in consideration of certain limit values in advance.

In group a, all others were unchanged, changing the drag coefficient at lead to 0.26 and 2.6. The meaning of taking the value of 0.26 is to trim the cylinder lead weight into a streamlined body which is the same as the floating belly, and the meaning of taking the value of 2.6 is to roll the lead weight into a nearly flat plate shape, and select a larger value according to a relation curve comparing Reynolds numbers and resistance coefficients of a smooth cylinder and a smooth ball.

By comparison, the coefficient of resistance at lead increases from 0.26 to 0.86 to as much as 2.6, with very limited variation in either the overall sensitivity or half-cycle of the fishing bank, and the speed of movement of the fishing bank. The same is true for the other two floats. For example, for float a3, the drag coefficient at lead is from 0.26 to 2.6, and the rate of change of the total sensitivity is (3.929-3.756)/3.929-0.044-4.4%. The rate of change of the speed was (1.239-1.183)/1.239-0.045-4.5%. Are not detectable by ordinary fishing hands.

Therefore, for the same float, the effect of improving the sensitivity and speed of the fishing tackle by reducing the water resistance by trimming the lead skin is limited. Therefore, as a comparison of the drifts of different parameters, the resistance coefficient at the lead takes the same reasonable value; also used below is 0.86.

Along with the increase of the resistance coefficient of the lead, the water resistance of the lead is correspondingly increased and is close to a direct ratio; this phenomenon can also be derived from the water resistance equation Fd-0.5 Cd ρ V²A is seen.

If the lead trimming does not change the cross section area A, the resistance coefficient is in direct proportion to the water resistance under the condition that the average speed V of the fishing tackle movement is also unchanged. In fact, the trimming lead foil changes the resistance coefficient Cd, so that the water resistance of the fishing group also changes, and the moving speed of the fishing group also changes. This variation is only small, so that the drag coefficient and the water resistance can be approximately kept in a direct proportion relation.

Thus, a very surprising situation arises. In the course of the change of the drag coefficient from 0.26 to 2.6, the water resistance at lead increases almost correspondingly by a factor of 10, but the influence on the displacement sensitivity and speed of the fishing tackle group is very small. Why is this?

The coefficient of resistance β represents the coefficient of resistance value of a typical float-lead-matched fishing group for ordinary fishing.

From β ═ γ/2M and γ ═ f/V, one can obtain:

β＝f/(2V*10^-2M*10^-3)

as is known, the average speed V of the fishing group is 10^-2Of order of magnitude (converted to meters per second), the total mass of lead floating is 10^-3Of order (converted into kilograms), 1/(2VM) is 10^-1Of order of magnitude, as can be seen from Table 3 below, the total water resistance f is 10^-6Of order of magnitude, so that β is 10^-2Of order of magnitude. It can be said to be rather small.

Under the matching of floating lead of a common fishing group, the attenuation coefficient e^-βπThe value of (d) is between 0.88 and 0.95, indicating that the amplitude of the under-damped vibrations of the fishing tackle group decays relatively slowly.

This "effect" is more intuitively seen from the T/2 function of the half cycle of the fishing group movement.

T/2＝π/(ω₀ ²-β²)^0.5

Beta and omega₀ ²Two terms, omega₀ ²Is 10⁰Of the order of beta is 10^-2Of order, then, β²Is 10^-4Of order of magnitude. And omega₀ ²In comparison, it is a very small amount. Therefore, β has little effect on the cycle of the fishing tackle movement and therefore has little effect on the speed of the tackle movement.

The floating lead size and speed of the fishing group are small in common fishing, so that the water resistance factor is small relative to the quality of the fishing group. Therefore, even if the limit is reduced or the water resistance at the lead floating position is increased, the influence on the sensitivity and the speed of the fishing group is limited. Therefore, there is a limit to trimming the lead or to trying to maximize the overall shape and size of the fish to reduce water resistance in an attempt to improve the sensitivity of the fishing tackle.

Nevertheless, the two ends of the trimmed lead sheath are in a streamline shape, which is also beneficial to smooth descending of the lead belt hook bait; in particular, it should be avoided that the lead plummet is too short, becomes thin and round, or has an irregular surface.

The following half-cycle function was used to continue the analysis of the factors for the total mass of the fishing tackle.

Due to beta²And omega₀ ²By comparison, the half-cycle function can be reduced approximately to the form:

T/2＝π/(ω₀ ²)^0.5＝π(M/k)^0.5

this is in fact a function of the half period of the simple harmonic oscillation.

The floating tail diameters of the B group floating and the C group floating are the same and are both 1.5 mm. So the spring constant K of the drift eye spring is also the same. The weights of the two groups of floats are the same and are both 2 g. Then, according to the above formula, the half-cycle of the movement of the fishing tackle will be the same for both floats (i.e. the total mass M of the tackle will be the same) which have the same lead-eating amount. Comparing to column T/2 in table 3, the half cycle times for B1 drift and C1 drift are 1.4947 and 1.4949, respectively, with little difference. The same is true for the other two sets of comparisons.

Even, the difference between the length S of the fishmouth float phase of two floats with the same lead-eating amount in the two groups of floats and the average speed V of the fishing group movement is seen to be almost the same. And the floating bellies of the two groups of floats have the diameters of 10mm and 15mm respectively. It is shown that variations in the float diameter over a range (values for particular instances of which have represented the vast majority of float sizes that are common) have very little effect on the overall sensitivity of the fishing group and the speed of the fishing group.

That is, if the total mass of the lead floats is the same for two floats with the same tail diameter, the fishing groups matched with the floats have almost the same sensitivity and movement speed even if the float bellies have different shapes and sizes.

Two pieces of floating woolen cloth with the same floating tail diameter and different total fishing group mass, namely how much the total fishing group mass or lead consumption of the floating woolen cloth affects the sensitivity of the fishing group? Is the lead feed amount doubled, the sensitivity of the fishing tackle assembly is reduced by half?

See also the half cycle function above. As can be seen from the function, the drift tails are the same in diameter, i.e., k is the same. The total mass of the fishing tackle is doubled, and the half period is increased to 2^0.5And (4) doubling. I.e. 1.414 times. The total mass of the fishing tackle is tripled, and the half period is increased to 3^0.5The time is 1.732 times. The total mass of the fishing tackle is increased by four times, and the half period is increased to 4^0.5The multiple is 2 times.

The diameter of the float tail is the same as that of the float tail A1 and that of the float tail A3, the self weight is the same, and the lead intake is increased from 2 g to 6 g, which is 3 times. The total mass of lead bleaching is increased from 4 g to 8 g, which is two times. The half cycle of the two floating fishing groups increases from 2.2426 to 3.1713. 3.1713/2.2426 ═ 1.4141. Consistent with the conclusions analyzed with the half-cycle function. That is, on the premise that the drift tail diameters are the same, the mass is related to the half period as the root sign. The same conclusion can be reached by the B group bleaching and the C group bleaching.

Root-number correlation is a "weakening". This "weakening" can be visualized from the velocity values. The changes from 3.80646 to 3.88165 for float a1 and float A3, s were minimal. While T/2 is related to the total mass of the fishing tackle at root, V should also be related to the overall mass approaching open square. And (5) verifying. The fishing tackle speed was reduced from 1.6973 to 1.224, 1.6973/1.224 ═ 1.3867. The degree of difference from the theoretical value of 1.414 is:

(1.414-1.3867)/1.414 ═ 0.0193, i.e. less than 2%. It can be seen that the fit is also good.

Verification can also be obtained in the B group bleaching and the C group bleaching.

If A is F/M in Newton mechanics, the speed is an amount that is continuously increasing or continuously decreasing. When the initial velocity is zero, the velocity is inversely related to the mass over the same time. This is not in line with the characteristics of actual fishmouth bleaching. For example, if the fishing eyes are large and 10cm of floating tail is exposed out of the water, the fish mouth is fierce again, and you cannot see a floating phase with higher and higher speed. Except after the fishhook is hung on the fishlip, the fish can escape from the floating body. The mouth-floating phase of the fish when sucking the bait was studied here. Furthermore, the average speed of a fishing bank is inversely related to the mass of the fishing bank, which is a huge difference in direct inverse relation to the mass of the speed of newton's dynamics. Further, newtonian a ═ F/M has no period and can continue. And the fishing tackle group movement is periodic. There is an acceleration-deceleration and a short stop. For example, if the hook eye is small, i.e., the drift tail diameter is a large point relative to the hook, then a jerky or fluttering drift of the drift tail is seen. The relatively fast frequency of such flutter should not be caused by the fish swiftly swallowing a hook-spinning bait play. Therefore, the analysis of the fishing tackle movements is completely impossible using Newton's mechanics alone. Because, firstly, the mechanical equation of the underdamped vibration can not be established independently by the Newton mechanics. It is achieved by combining elastomechanics and hydromechanics (water resistance). Secondly, the newtonian properties also differ greatly from the characteristics of the fishing tackle group movements.

The comparison within the A-group bleaching has not yet ended. Their displacement sensitivities s are compared. Surprisingly, it was found that although the lead intake increased from 2 grams to 6 grams, which is 3 times as high, the fishing tackle sensitivity increased, but the increase was minimal. (3.929-3.847)/3.929 ═ 0.021 ═ 2.1%. This difference is not perceptible by a normal angler.

The same rule exists in the B group bleaching and the C group bleaching. That is, the increase in lead intake does not significantly change the overall sensitivity s of the fishing tackle at the same tail diameter.

One problem needs to be addressed. The increase in lead consumption alone does not reduce the overall sensitivity of the fishing tackle but increases it. Although the magnitude of this increase is not significant. Simply speaking, the increase of the total mass of the fishing group increases the capability of the fishing group to overcome water resistance. Unfortunately, the water resistance is so small that the effect of this ability is not significant.

The effect of the drift tail diameter on the sensitivity of the fishing group is analyzed below.

The contrast float A1 and the float B1 are the same except that the float tail diameter is different. Can be clearly seenThe total sensitivity (fishmouth float phase length) of float a1 was 3.80646 and the total sensitivity of float B1 was 1.72064. The phase difference is large. 3.80646/1.72064-2.212. And then see what the drift tail diameters of them have a relationship. (1.5/1)²2.25. How much the two values differ?

(2.25-2.212)/2.25＝0.017

Error of less than 2%. The agreement is perfect. Namely: for two floats with different float tail diameters, the total sensitivity is inversely proportional to the square of the float tail diameter. I.e. inversely square related.

This conclusion can also be drawn by comparing float a2 and float B2 or float A3 and float B3.

Why is it?

In fact, under the characteristics of small lead floating size and moving speed of the fishing group, the water resistance factor becomes a small quantity, and the conclusion that the total sensitivity of the fishing group is inversely proportional to the square of the floating tail diameter is determined.

The premise for comparing the parameters is that the same fish takes the bait. Then, the force F of the bait is consumed by the fish after the force F of the bait F is absorbed 1, and the remaining force for moving the fishing groups of different collocation is the same, namely the same force F is absorbed 2. The water drag factor is small, so the fishing tackle group movement can be reduced to simple harmonic vibration. Then, according to the law of buoyancy, the same force will lower the same volume V of a cylindrical float (as will float of other shapes) of different cross-sectional area. And the volume V is equal to the product of the cross-sectional area a and the height s. The height is the total length s of the floating phase of the fish mouth. For two floats that float tail diameter different other conditions the same (in fact, it is just harmless to eat lead quantity difference also, the demonstration above), have:

V₁＝V₂

V₁＝A₁S₁＝π(d₁/2)²S₁

V₂＝A₂S₂＝π(d₂/2)²S₂

therefore, (d)₁/2)²S₁＝(d₂/2)²S₂

Namely: s₂/S₁＝d₁ ²/d₂ ²

This proportional relationship is very surprising. Such as is the case in special cases. The diameter of the float tail is increased from 1 mm to 1.5 mm, but is increased to 1.5 times of the original diameter, and the total sensitivity is reduced to 1/1.5 of the original diameter ²1/2.25-0.444-44.4%. In other words, if a 1cm tang can be seen on a float with a tail diameter of 1 mm, only a half cm tang can be seen on a float with a tail diameter of 1.5 mm. If the drift tail diameter is increased to two times, the total sensitivity is reduced to one quarter! .

Looking again at the difference in their velocities. The float a1 and the float B1 were still compared first. They are of the same mass, only increasing the drift tail diameter from 1 mm to 1.5 mm, and decreasing the velocity from 1.6973 to 1.1511.

1.4745 for 1.6973/1.1511, is closely related to the inverse ratio of the tail diameter. The following deduces that this is not the case.

V₁/V₂＝(S₁/T₁/2)/(S₂/T₂/2)

＝(S₁/S₂)*{(T₂/2)/(T₁/2)}

＝(d₂ ²/d₁ ²)*{π(M₂/k₂)^0.5/π(M₁/k₁)^0.5}

＝(d₂ ²/d₁ ²)*(k₁/k₂)^0.5

＝(d₂ ²/d₁ ²)(A1/A2)^0.5

＝(d₂ ²/d₁ ²)*(d₁ ²/d₂ ²)^0.5

＝(d₂ ²/d₁ ²)*(d₁/d₂)

＝d₂/d₁

If so! This relationship was also originally noted. Namely: the speed ratio of the fishing groups matched with the two floats only with different float tail diameters is the inverse ratio of the float tail diameters; the same conclusion can be drawn by comparing float a2 and float B2 and float A3 and float B3.

It can be seen that the drift tail diameter d of the float not only affects the total sensitivity s of the fishing group in an inverse square relation, but also directly affects the average speed V of the fishing group in an inverse square relation; the floating tail diameter is larger than the influence degree of the total mass of the fishing group on the speed of the fishing group; because the total mass of the fishing group affects the speed of the fishing group only in an inverse square relationship.

To understand this relationship intuitively, two such floats are not compared, with a float tail diameter of 1.5 times and a square of 2.25. If the total mass of the two floats is more than 2 times of the inverse ratio, the evolution is close to 1.5 of the ratio of the tail ends of the floats. The average speeds of their fishing groups should be very close. Find out whether there are two such drifts in a special case.

See float a3 and float B1. Float A3 float tail diameter 1 mm, total mass 8 g. The float B1 has a float tail diameter of 1.5 mm and a total mass of 4 g; the ratio of the tail floating diameter is 1.5, and the inverse ratio of the total mass is 2; the average speeds of their paired fishing groups were 1.224 and 1.151, respectively; in close proximity.

(1.224-1.151)/1.224＝0.06＝6％

The difference is seen to be rather small. If the total mass is strictly inverse square of the drift tail diameter, i.e. 2.25 times, the difference is very small if the total mass of the drift A3 reaches 9 g.

This example demonstrates that reducing the tail diameter of the float by one third (from 1.5 mm to 1 mm) increases lead pick-up by a factor of two (4 g to 8 g, in fact to 9 g), with the average speeds of the two fishing groups being nearly the same. Moreover, the total sensitivity s of the fishing group can be increased to more than 2 times of the original sensitivity s; therefore, the floating tail has a magic power.

If the float tail diameter and lead eating quantity of one float are larger than those of the other float, the total sensitivity s and average speed V of the fishing group matched with the float A are smaller than those of the fishing group matched with the float B without comparison. It is relatively difficult to compare the case where one factor is large and the other factor is small.

For example, the drift tail diameter of the float a is 1.2 times of that of the float B (for example, the drift tail diameter d of the float a is 1.2 mm, and the drift tail diameter d of the float B is 1 mm), but the lead eating amount of the float a plus the self weight (i.e., the total mass M) is 0.6 times of that of the float B (for example, the self weights of both the floats are 1.5 g, the lead eating amount of the float a is also 1.5 g, and the lead eating amount of the float B is 3.5 g).

According to the 'two drifts with different drift tail diameters, even if the lead eating amount is different, the total sensitivity s is approximately related to the inverse square of the drift tail diameter d'. Comprises the following steps:

sB/sA＝dA²/dB²＝1.2²＝1.44

that is, if the fish sucks the bait to cause the floating tail of the float A to have a fishmouth float of 1cm in length, the same fish sucks the same hook bait (including the same underwater state) of the fishing group with the float B, and the floating tail of the float B has a fishmouth float of approximately 1.5cm in length

See again the difference in average speed of the fishing groups they mate with.

According to the expression "the fishgroup velocity V is inversely related to the total mass approaching the square of the root with the same tail diameter. The 'and' only have two floats with different float tail diameters, and the average speed V of the matched fishing group is inversely related to the float tail diameter d. "this method is to let each factor act relatively independently and then add (note that here the addition is not simply an addition, but a multiplication). Comprises the following steps:

vA/vB＝(MB/MA)^0.5*(dB/dA)＝(1/0.6)^0.5*(1/1.2)＝1.076

it appears that the average speed of the two float-matched fishing groups is about the same. This special case comparison can be understood as follows: the dead weight of the two floats is 1.5 g, the speed of the fishing group matched with that of the fishing group with the lead eating amount of 1.5 g and the lead eating amount of 3.5 g is almost the same, only because the diameter of the float tail with the large lead eating amount is 0.2 mm smaller than that of the float tail with the small lead eating amount. The lead intake is more than doubled, the diameter of the float tail is only reduced by 1/6, and the speeds of the fishing groups matched with the float tail are the same. Even, the overall sensitivity of the large lead eating float was increased by nearly half! It is also clear from this that the total mass of the fishing tackle, or the lead pick-up of the float, has a great influence on the speed of the tackle, being "weakened". Or the lead-eating amount of the float has a much smaller influence on the speed of the fishing group than the diameter of the float tail. Some fishing friends intuitively infer the speed of the fishing tackle group by using Newton's law according to the feeling, and the method is not really reasonable.

Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: it is to be understood that modifications may be made to the technical solutions described in the foregoing embodiments, or equivalents may be substituted for some of the technical features thereof, but such modifications or substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method of measuring and comparing the sensitivity of a fishing tackle assembly, comprising the steps of:

and B: according to the under-damped vibration model in the step A, analyzing the influence of four parameter factors of the floating tail diameter, the floating belly diameter, the floating body dead weight and the lead consumption of the fishing group system on the sensitivity of the fishing group system by adopting a control variable method;

and C: the sensitivity of the group system in the step B is represented by selecting two parameters of a fishmouth bleaching length S and a fishing group motion average speed V, wherein the fishing group motion average speed V is the fishmouth bleaching length S divided by the elapsed time t; the influence of four parameter factors of the floating tail diameter, the floating belly diameter, the floating body dead weight and the lead eating quantity on two parameters of the floating phase length S of the fishmouth and the average speed V of the fishing group movement is calculated;

2. The method of measuring and comparing the sensitivity of a fishing tackle group system according to claim 1, wherein in step B the control variable analysis method is: three groups of floats are designed, each group of floats comprises three floats,