CN101386242A - Automatic drawing apparatus of standard sine line - Google Patents

Abstract

The invention discloses an automatic plotting apparatus of an inventive standard sinuous line which can control the rotation speed, carry out mechanical standard sinuous line vibration and can automatically plot the standard sinuous line on a piece of paper. The invention includes a main vibration girder (10), a second plotting pen (14), a rotary handle (16), a stud (17) arranged on the rotary handle and a gear (15) which all rotate synchronously; a transmission rack (22) of the gear (15) and a plotting recording board (19) both move translationally and synchronously; within three seconds, a first painting pen (8) and the second painting pen (14) respectively, intuitively and directly plot a 'time shaft' and the standard sinuous line on the paper of the recording board (19); therefore,, the lines with different swings, different primary phases (angles) and different frequencies are realized to be perfected standard sinuous lines. The automatic plotting apparatus which is simply operated by hands and has a simple, beautiful and intuitive structure is the best classic apparatus for the teaching books of physics and maths, scientific research, practical drawing, theory of science, line accuracy and line standard.

Description

Automatic drawing apparatus of standard sine line

The China that 5,000 years of civilization history is arranged has the optimal classical instrument of autonomous original invention first, enrolls " textbook ", rewrite " history ", rewrite " textbook ", be the human civilization progress, spread later age that the excitation descendant is the honor of state-nation, respected by common people, international according to the era of knowledge-driven economy, the whole world is worth consistent standard, and the international market has a extensive future, economic benefit is huge, promotes development in science and technology.

" automatic drawing apparatus of standard sine line " (mechanical type) of autonomous original invention is all purpose instrument of " standard sine line ", " standard cosine figure line ", " standard simple harmonic oscillation figure line ".Because above three kinds of figure line conversion mutually, hereinafter to be referred as: standard sine line.

The present patent application a few days ago, both at home and abroad with " alternating current generator ", " LC oscillating circuit ", " single pendulum " generation " sine line ", but many weak points are all arranged, and type of the present invention is domestic outside platform with mechanical type structure " automatic drawing apparatus of standard sine line " generation " standard sine line " and intuitively automatically " standard sine line " is depicted in instrument on the common blank sheet of paper.

The structure of type of the present invention is similar fully with the structure of all optimal classical instruments in " textbook " lining, and structure is very simple, structure is all directly perceived, structure all has mirror to be referred to as U.S. relatively.

This hair style is producing standard sine line or standard cosine figure line: $X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Process in, automatically the speed of describing, can be fast, can be slow, the centre can be suspended, first phase (angle) φ 1 of experimental result standard cosine figure line is constant, amplitude A big or small constant, each and every one length of period T of " standard cosine figure line " is constant, each and every one remains constant at the kenel of " standard cosine figure line ", the principle science of " standard cosine figure line ", figure line is correct, the figure line standard, the figure line stabilization, success rate 100%, intuitively describe complete " a standard cosine figure line " automatically, time can be less than 3 seconds, than artificial fast several ten thousand times, type of the present invention is from producing " standard cosine figure line " and automatically " standard cosine figure line " being depicted in the physical process on the common blank sheet of paper, the all only excellent feature that is had in all lecture experiment instruments in " textbook " lining, is unique.

Type of the present invention " automatic drawing apparatus of standard sine line " is the invention that has novelty, creativeness, practicality most both at home and abroad the present age, is optimal classical instrument.

Type of the present invention is a mechanical type, therefore has the height intuitive, the operability that has height during application, meet the law of cognition from the perception to the rational faculty, meet the most most important intuitive teaching principles, be junior middle school's " physics ", " mathematics " senior middle school " physics ", " mathematics ", " College Physics ", the teaching demonstration instrument of " university's mathematical physics ", the student experimenting instrument, the academic research instrument, stationery, mechanical drawing, newpapers and periodicals, magazine, data is published, basic " standard sine line instrument " commonly used, the knowwhy that has in the particularly relevant textbook, type instrument of the present invention can prove with experimental technique, for example " university's electromagnetism ", the knowledge content of university's " electrotechnics essentials tutorial " lining, there be " rotating vector " to determine simple harmonic quantity, sine line is depicted on the blank sheet of paper, the sine line of this pure science, be that " Mathematical Modeling sine line " also is " ideal model sine line ", " Mathematical Modeling ", " ideal model " sine line, present patent application is present, still not having instrument both at home and abroad can intuitively depict, type of the present invention " automatic drawing apparatus of standard sine line ", can be directly perceived, automatically " Mathematical Modeling sine line " " ideal model sine line " is depicted on the blank sheet of paper, in " physics " textbook, lecture the displacement formula of spring oscillator in addition: $X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1),$ Type application of the present invention is present, does not have an instrument to draw by ocular demonstration $X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Come, utilize type instrument of the present invention to make lecture experiment, and according to the present invention the theoretical foundation of type $X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Derivation method, in lecturing " physics " teaching, can intuitively derive spring oscillator and make the change in displacement rule of simple harmonic oscillation and be: $X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ And intuitively automatically standard cosine figure line is depicted on the blank sheet of paper, this professor's method, be experiment, figure line, theoretical three in conjunction with deriving out, effect is directly perceived, impression is dark, remember, grasping the jail, is teaching material, the science innovation of teaching methods, the learning value of type of the present invention, has wide international market prospect at applied range.

The purpose of type of the present invention is achieved in that by framework, the total beam of horizontal vibration, gear mechanism, standard sine line and describes recording mechanism and formed.

Described framework, by sill 1, entablature 2, left vertical beam 3, right vertical beam 4, middle vertical beam 5 constitute "

" the type structural framing; at left vertical beam 3; 4 two side bar inboards of right vertical beam along it directly to centerline direction; all processed an equal length with milling machine; same widths; same depth, Dui Cheng grooved rail 6 in opposite directions, 7, describe the midpoint that pen 8 is installed in left vertical beam 3 for first, " time shaft " of realizing " standard sine line " intuitively correctly is depicted on the blank sheet of paper automatically, the total beam 9 of described horizontal vibration, horizontal vibration beam 10 by the horizontal direction installation, left end slide block 11, right-hand member slide block 12 is formed, horizontal vibration beam 10 is one certain-length, cross section is a rectangle, straight horizontal beam, directly having processed one vertically downward certain-length arranged by last along horizontal vibration beam 10 to center line, the straight grooved rail 13 that certain width is arranged, describe pen 14 for second and be installed in horizontal vibration beam 10, in the circular hole of left end center line, make it realize and intuitively to be depicted in standard sine line on the blank sheet of paper automatically, a slide block 11 of symmetry is in opposite directions installed at the two ends of horizontal vibration beam 10 respectively, 12, constitute the total beam 9 of horizontal vibration, the slide block 11 at the total beam of horizontal vibration 9 two ends, 12 be installed in respectively " " be slidingly matched within the grooved rail 6,7 of shape structural framing left vertical beam 3, right vertical beam 4.Each particle on the total beam 9 of realization horizontal vibration is pressed $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Vibration.

Described gear mechanism, by gear 15, turning handle 16 is formed, cylindrical columns 17 of vertical installation on turning handle 16, gear 15, turning handle 16, cylindrical columns 17 constitutes gear mechanism, gear 15 be installed in vertical beam 5 midpoint below, turning handle 16 be installed in vertical beam 5 midpoint above, both coaxial synchronous rotations, cylindrical columns 17 is installed within the straight grooved rail 13 of the total beam 9 of horizontal vibration, gear 15, car handle 16, cylindrical columns 17 is all done identical synchronous rotation of cycle, 22 translations of gear 15 driving racks, each particle on the total beam 9 of cylindrical columns 17 transmission horizontal vibrations (comprising that the 2nd is described pen 14) is all pressed $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Vibration.

Described standard sine line is described recording mechanism, describing data board 19 by positive rectangle base plate 18 and positive rectangle forms, two long limits of positive rectangle base plate 18, an equal in length is installed respectively, width equates, deep equality, Dui Cheng straight grooved rail 20 in opposite directions, 21, positive rectangle is described on the long limit of data board 19, a tooth bar 22 is installed, tooth bar 22 be parallel to data board 19 directly to center line, two long limits describing data board 19 are installed in two grooved rails 20 of positive rectangle base plate 18 respectively, be slidingly matched within 21, tooth bar 22 on the data board 19 cooperates with gear 15 transmissions on the gear mechanism, when realizing that gear 15 rotates driving rack 22 with describe data board 19 synchronous translations, realize that describing pen for first 8 can intuitively be depicted on the blank sheet of paper of data board 19 automatically to " time shaft ", can make simultaneously second describe pen 14 can be intuitively automatically by $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ The figure line that rule changes is also depicted on the blank sheet of paper of data board 19, and making the figure line on data board 19 blank sheet of paper is standard sine line.Gear 15, there are 1-2 " equipment gear " and gear 15 to form gear train, (annotate: at Fig. 4, Fig. 5, all do not mark among Fig. 7), gear 15 with the effect that " equipment gear " forms gear train is: gear 15 rotated in the time in a week, change positive rectangle and describe the length of data board 19 translatory distance, promptly change first and describe pen 8 is described " time shaft " " T " on the blank sheet of paper of describing data board 19 length, make the 2nd to describe pen 17 and describing to write down on 19 the blank sheet of paper, " t " that describe a vibration figure line " time shaft " that shakes entirely has long " t " line segment, short " t " line segment is also arranged, length according to the view of science " t " line segment has changed, but on the horizontal vibration beam 9 second describes " amplitude " size of pen 17 standard sine lines of being described and " displacement " Changing Pattern that the total beam 9 of horizontal vibration is done simple harmonic oscillation on blank sheet of paper $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ All be real, still all be standard sine line, first standard sine line of describing the pen 8 different kenels of on data board 19, being described of this class when gear 15 is formed gear train with " equipment gear ", with showing true camera lens picture on TV, the slow motion picture, the effect of snapshot picture is similar, all being teaching practice, printing, publisher, the needed standard sine line of stationery manufacturer production standard sine line curve ruler, also is the relevant needed standard sine line of theoretical rule knowledge in the relevant textbook.

Below in conjunction with drawings and Examples type of the present invention is further specified.

Fig. 1 is type frame structure sketch of the present invention.

Fig. 2 is for type of the present invention intuitively is depicted on the blank sheet of paper automatically $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Figure line (standard sine line).

Fig. 3 is the top view and the front view of total beam 9 structures of type horizontal vibration of the present invention

Fig. 4 is the mounting structure figure of the gear 15 of type gear mechanism of the present invention, turning handle 16, cylindrical columns 17.

Fig. 5 is for the gear 15 of type gear mechanism of the present invention is installed in

In the shape framework vertical beam 5 below, during turning handle 16 is installed in vertical beam 5 above, turning handle 17 is installed in the structure chart within the straight grooved rail 13 of the total beam 9 of horizontal vibration.

Fig. 6, for type standard sine line of the present invention is described mechanism, positive rectangle base plate 18 is described data board 19 with positive rectangle relation structure diagram is installed.

Fig. 7 is for type overall structure principle sketch of the present invention, also be to do to want accompanying drawing.

Fig. 8, for the total beam 9 of type horizontal vibration of the present invention utilizes light spring oscillator and " circle of reference ", each particle that pushes away the total beam 9 of card horizontal vibration all by $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Rule do simple harmonic oscillation, type promptly of the present invention can be intuitively be depicted in the principles of science on the blank sheet of paper to " standard sine line " automatically.

It is as follows that the theory of Fig. 8 pushes away card:

Fig. 8 (A) is that light spring oscillator P does simple harmonic oscillation, and the equilbrium position is at O, amplitude A=OD ₁, Fig. 8 (B) is the bead P of " circle of reference " ₁Make uniform circular motion, the center of circle is at O ₁, radius R=O ₁D ₁, P ₁Subpoint at X ' axle is P ₂, adjust bead P ₁Rotating speed make its subpoint P ₂Do synchronous simple harmonic oscillation, the parallel X ' of X-axis axle, OO with spring oscillator P ₁Dotted line is perpendicular to X ' axle, DD ₁Dotted line is also perpendicular to X ' axle, therefore, immediate movement X=X ' among the figure, amplitude A=R, theory pushes away card, X '=X=RCOS (ω t), general formula $X\′=X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1),$ In fact PP ₁P ₂All press any point on the dotted line $X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ The rule vibration is if replace PP with a total beam of vertical vibrating ₁P ₂Dotted line, then each quality point on the total beam of vertical vibrating is all done $X=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Vibration, then theory has become reality, if Fig. 7 structure is counterclockwise changeed 90 °, the PP of vertical direction then ₁P ₂Dotted line becomes the PP of horizontal direction ₁P ₂Dotted line, the total beam of vertical vibrating becomes the total beam of horizontal vibration, i.e. the total beam 9 of the horizontal vibration of type of the present invention, each matter of the total beam 9 of horizontal vibration is all done along Y direction $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Vibration, Fig. 8 (C) is the theoretical foundation of type of the present invention.

" standard cosine figure line " sees Fig. 2.

Experimental implementation:

Type instrument of the present invention is handle automatically intuitively $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Be depicted in operation principle and operating procedure on the blank sheet of paper: be described as follows in conjunction with Fig. 7:

The first step, this instrument is placed on the horizontal table top by Fig. 7, The type structural framing keeps transfixion.

In second step, data board 19 is put one in vain.

The 3rd step, about $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Behaviour's method of amplitude A, (establish amplitude A=20mm), in Fig. 7, on the disk of gear 15, there is radius to be: 10mm, 15mm, 20mm, 25mm ... Deng " circular hole ", it is 20mm " circular hole " lining, then amplitude A=20mm that " cylindrical columns " 17 is installed in radius, being installed in radius is 25mm, and then amplitude is 25mm.

The definite method of operating of first phase (angle) (is supposed first phase (angle) φ ₁=30 °) applied mathematics rudimentary knowledge, make turning handle 17 radius of gyration r radially with vertical direction Y-axis positive direction between angle become 30 °, φ then ₁=30 ° of (also φ ₁=45 °, 60 ° ...)

The method of operating of period T or frequency f (T=1/f), experimental implementation person, in Fig. 7, with hand operated turning handle 16, rotating the time of experiencing in 1 week is 1 period T, the speed of rotating 1 cycle can be fast, can be slow, the centre can be suspended, experimental result, standard cosine figure line is constant, and this is another only excellent feature that type of the present invention is selected mechanical structure, select the classical instrument of mechanical type, " equipment gear " is installed cooperated with gear 15 and tooth bar 22 transmissions, can change rate frequency or cycle, the length of " time shaft " is the basic demand of " mechanics " mechanical movement, being the needs of extensive use, is perception, rational rule.

In the 4th step, describe 8, the second in pen for the 1st and describe in the pen 14 insertions circular hole separately.Turning handle 16, cylindrical columns 17 threes rotate synchronously, and the total beam 9 of cylindrical columns 17 transmission horizontal vibrations is done

Vibration is described pen for the 1st and 8 intuitively automatically time shaft " t " is depicted on the blank sheet of paper, describes intuitively handle automatically of pen 14 for second

Figure line is depicted on the blank sheet of paper and (annotates: because the relativity of motion, observing effect is as seemingly being, describe from left to right setting-out of pen for two, line drawing method so from left to right meets fully, the custom and the rule of teachers and students and drawing personnel setting-out from left to right), if the radius of gyration r of turning handle 17 equates that with the radius of gyration R of gear 15 type instrument then of the present invention intuitively is depicted in amplitude A=20mm, first phase (angle) φ of " standard cosine figure line " on the blank sheet of paper automatically ₁=30 °, one-period T on the time shaft " t " is with length " 2 π rmm " expression, also be with length " 2 π Rmm ", also can be described as usefulness " 2 π Amm " expression, concrete numeral is that " 2 π * 20mm " expression one-period T (annotates: the 3rd page of explanation once, gear 15 in Fig. 4, if " equipment gear " with different radii replaces gear 15, or be combined into new gear train with " equipment gear " and gear 15, the length of " standard cosine figure line " one-period T on the time " t " can change, to adapt to the drawing needs, the time length of " t " has changed, but $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ Rule be correct standard all the time).

Type of the present invention " standard sine line also is " the Mathematical Modeling sine line " of " university's electromagnetism ", " university's electrotechnics essentials tutorial " lining, also is " ideal model sine line ".Optimal classical demonstration instrument.

Type instrument of the present invention, automatically be depicted in that standard sine line principle science on the blank sheet of paper, figure line are correct, figure line standard, figure line stabilization, simple in structure, physical process and two physical processes of describing standard sine line highly directly perceived, that the total beam of horizontal vibration is done simple harmonic oscillation, perusal gets absolutely clear.Experiment is installed with operation all very easy, do not want power supply, use hand operated, light fluent, automatically describe a width of cloth standard figure line, no matter time can than artificial fast several ten thousand times, be university less than 3 seconds, senior middle school, the junior middle school student, can both the time less than 3 seconds within, intuitively automatically standard sine line is depicted on the blank sheet of paper,, describes 8 and second in pen to first and describe in 14 circular hole that insert respectively separately if teacher is placed on a blank sheet of paper on the data board 19, pupil then, 6 years old child students also can intuitively be depicted in standard sine line on the blank sheet of paper about 3 seconds time automatically.Success rate all is 100%, and the lines of figure line are even, and is smooth, fluent.

Type of the present invention is the optimal both at home and abroad instrument of standard sine line on blank sheet of paper of intuitively describing automatically in the present age.

The China that 5,000 years of civilization history is arranged has the optimal classical instrument of autonomous original invention first, enrolls " textbook ", rewrite " history ", rewrite " textbook ", be the human civilization progress, spread later age that the excitation descendant is the honor of state-nation, respected by common people, international according to the era of knowledge-driven economy, the whole world is worth consistent standard, and the international market has a extensive future, economic benefit is huge, promotes development in science and technology.

" automatic drawing apparatus of standard sine line " optimal classical instrument enrolls " textbook " and rewrites " history ", rewrites " textbook " promotion development in science and technology, and example is as follows:

[one] is optimal classical instrument

The structure of " automatic drawing apparatus of standard sine line ", with " textbook " lining, it is similar fully that Britain Tom Si raises the structure of optimal " classical instrument " (claim: Tom Si raises the interference of light instrument) of autonomous original invention, two kinds " instrument " structure is all simple, structure is all directly perceived, structure all has mirror image to being referred to as U.S., principle all science, figure is all correct, figure is standard all, and figure is all stablized, and success rate all is 100%." automatic drawing apparatus of standard sine line " also has intuitively automatically " standard sine line " is depicted on the common blank sheet of paper solely excellent function, describes complete " sine line " time can be less than 3 seconds, has than artificial fast several ten thousand times extra-high-speed efficient.

Therefore two kinds of instruments all are optimal classical instruments, and classical instrument enrolls " textbook " lining, spread later age the excitation descendant.

[two] simple harmonic oscillation comprehensive demonstration instrument

Fig. 7 of the type according to the present invention " automatic drawing apparatus of standard sine line ", design theory and structure with Fig. 8, carry out comprehensive Design, development, can invent a kind of " simple harmonic oscillation comprehensive demonstration instrument ", " simple harmonic oscillation comprehensive demonstration instrument " is in making the process of lecture experiment, can intuitively derive the displacement X of the light spring oscillator of doing the letter vibration, press X=ACOS (2 π ft+ Φ ₁) rule change, meanwhile, intuitively automatically " standard cosine figure line " is depicted on the common blank sheet of paper, be theory, experiment, formula, figure line, the instrument of comprehensive demonstration simple harmonic oscillation basic law directly perceived, still do not have this instrument both at home and abroad.It is again an invention (annotating: will apply for a patent) that has most novelty, creativeness, practicality.

[three] " automatic drawing apparatus of standard sine line " relevant scientific and technological knowledge, be that further study " Lissajous figure demonstrating and automatically tracing instrument " (application for a patent for invention 01106451.X) is higher, the basis of related science and technology, the understanding that makes the people from the superficial to the deep, rudimentary in senior, incremental.

Autonomous original invention " Lissajous figure demonstrating and automatically tracing instrument " has four academy's successes to have novelty, creativeness, practicality most.[reference :] (※) at a distance of 200 years come " twin brothers "

(1) the most perfect theory

Theoretical content:

" orthogonal various amplitude A1, A2, different first phases (angle) φ ₁, φ ₂, different frequency f ₁, f ₂" the synthetic lissajous figures of simple harmonic oscillation.

This theory is done all physical quantitys of simple harmonic oscillation to two, flawlessly all summarized to come in, so theory is the most perfect.

[illustrate: the content of " College Physics " correlation theory is: " orthogonal different frequency f ₁, f ₂The synthetic lissajous figures of simple harmonic oscillation ".This theory is not because " science and technology is historical " reason is done all physical quantitys of simple harmonic oscillation to two, flawlessly all summarizes to come in, therefore this theory of " College Physics " lack perfection (reference 1)].

(2) the math equation group of perfect theory 1., 2., 3. formula.

X＝A ₁COS(2πf ₁t+Φ ₁)…………………①

Y＝A ₂Sin((2πf ₂t+Φ ₂)………………②

f ₁: f ₂=n:m (n, m are integers) ... 3.

N, m are integers, be the high stability primary condition of lissajous figures, 1., 2., 3. formula, summarized two physical quantitys that simple harmonic oscillation is all, the ratio of also having summarized the ratio " n:m " of two frequencies, therefore 1., 2., 3. formula is the most perfect math equation group.

[illustrate: " College Physics " relevant mathematics equation group is

X＝ACOS(m2πft)………………①

Y＝ACOS(n2πft+a)……………②

A＝kn/4m………………………③

M, n, k are integers, and this teaching equation group is not because " science and technology historical " reason is all summarized two all physical quantitys of simple harmonic oscillation come in therefore " College Physics " this equation group lack perfection (with reference to 1)].

(3) highly desirable classical instrument

Calendar year 2001, China Chen Chunan was the structure of " the Lissajous figure demonstrating and automatically tracing instrument " of main invention, the structure height of " Tom Si raises the interference of light instrument " of raising invention with foremost 1801 Britain Tom Si in " physical textbook " lining is similar, the structure of two kinds of instruments all be highly simplify [two, three structures], " Tom Si raises the interference of light instrument " [two, three structures] " two ", promptly have only " two optical screens ", " three " promptly have only " three crack ", " Lissajous figure demonstrating and automatically tracing instrument " [two, three structures] " two ", promptly have only " two walking beam ", " two toothed rack ", " three " promptly have only " three gears ", structure is all highly directly perceived, structure all has mirror to be referred to as U.S. relatively, and 1801 " Tom Si raises the interference of light instrument " is the synthesising pattern instrument of demonstration two row microcosmic light waves." the Lissajous figure demonstrating and automatically tracing instrument " of calendar year 2001 invention is the synthesising pattern instrument of the orthogonal simple harmonic oscillation of demonstration macroscopic view, all belongs to the demonstration instrument of " vibration " and " ripple ".Two kinds of instruments invented at a distance of whole 200 years.Two kinds of instruments are after " eave theory " and " lissajous figures theory " are delivered respectively, all experience reach more than 100 year just invention " interference of light instrument " and " lissajous figures and describe automatically ".The U.S. symmetry of structure height letter of two kinds " instruments ", unexpectedly magical similar, this is the basic law of the motion of matter, always the rule of the U.S. symmetry of letter determines by " optimal classical instrument " simple U.S. symmetrical structure, " optimal classical instrument ", the U.S. symmetrical structure of letter has met the basic law of the motion of matter, always the rule of the U.S. symmetry of letter.Therefore, the instrument mystery is similar, so two kinds of instruments all are to have novelty, creativeness, practicality most, and highly desirable classical instrument.

(4) highly desirable experiment achievement

The experiment " figure " of " Lissajous figure demonstrating and automatically tracing instrument " and " Tom Si raises the interference of light instrument ", the principle science, " figure " is correct, " figure " standard, " figure " is stable, and success rate 100% is used easy and simple to handle.

" Lissajous figure demonstrating and automatically tracing instrument " also has solely excellent function; According to the most perfect math equation group 1., 2., 3. formula, A is arranged ₁, A ₂, φ 1, φ 2, f ₁, f ₂Time t, the physical quantity of totally 7 different numerical value, each physical quantity has many different numerical value again, calculate " straight line figure line ", " circular pattern ", " oval figure ", complicated " lissajous figures (style figure) ", " standard sine line ", " standard cosine figure line " according to being discharged to combinatorial formula, " figure " of different sizes, different kenels has many, and " Lissajous figure demonstrating and automatically tracing instrument " can both intuitively be depicted in each " figure " on the common blank sheet of paper automatically.Lissajous figures (style figure), the time of describing a width of cloth complexity can be less than 5 seconds, and speed can be fast, can be slow, and the centre can gradually be stopped, " figure " constant (with reference to 2).

The real domestic and international optimal classical instrument in the present age that belongs to, in teaching process, if observe the external form of " Lissajous figure demonstrating and automatically tracing instrument ", it is the optimal classical instrument of the U.S. symmetry of structure height letter, this perceptual knowledge that is very important, but must learn, understand, grasp its structural principle, function, effect.The basic law that has met the motion of matter, the U.S. symmetrical rule of letter always, if learnt the scientific and technological knowledge of " automatic drawing apparatus of standard sine line " earlier, then help further study, grasp the science and technology knowledge of " Lissajous figure demonstrating and automatically tracing instrument ", the China that 5,000 years of civilization history is arranged, optimal classical instrument " Lissajous figure demonstrating and automatically tracing instrument " and " automatic drawing apparatus of standard sine line " are arranged first, enroll " textbook ", rewrite historical, rewrite by " textbook ", it is the human civilization progress, it is country, the honor of nationality is respected by common people forever, and is international according to the era of knowledge-driven economy, the whole world is worth consistent standard, the international market has a extensive future, economic benefit is huge, promotes development in science and technology.

[four] " automatic drawing apparatus of standard sine line " is the instrument that produces " standard sine line "

The electric current that " alternating current generator " produces is not " sinusoidal current ", is not " standard sine electric current ".

Over about 100 years, " textbook " that has, for example " electrotechnics essentials tutorial " lining has: " simple sinusoidal electromotive, electric current, voltage " is (with reference to 3) that industrial alternating current generator produces, the civilian alternating current of industry is " sinusoidal current " this wrong conclusion, all personages that the above educational background in middle school is arranged are to assert like this, after " Lissajous figure demonstrating and automatically tracing instrument " invents, someone hears: when industrial civilian alternating current is not sinusoidal current, all feel surprised! Do not understand! Study its reason, be that " high school physics " simple sinusoidal electromotive is that ε=BLVSin (2 π ft+ φ) derives out according to the ideal model of alternating current generator, " alternating current generator ideal model " has three primary conditions, (1) magnetic line of force in magnetic field be in the same way, parallel, equidistant, desirable standard " uniform magnetic field "; (2) " square coil " desirable, standard; (3) " uniform rotation " desirable, standard, but " practical alternating current generator ", because structure is limited by all objective condition, magnetic field is energization solenoid " magnetic field of divergent shape ", (with reference to 4), it or not the ideal standard uniform magnetic field, coil is not the ideal standard square coil, therefore, industrial, civilian alternating current is not a sinusoidal current, the electromotive force of alternating current generator is that the rate of change with magnetic flux is directly proportional, formula: ε=n (△ φ/△ t) so alternating current figure line " doubtful sine line ", but is not sine line, is not standard sine line.

According to the most perfect desirable math equation group 1., 2., 3. formula, all is not standard sine, cosine, simple harmonic oscillation figure line, synthesize " the lissajous figures principle is science not; figure is incorrect; nonstandard; instability, also can reach a conclusion thus: be not standard sine line, can not develop, develop, produce, demonstrate the instrument of lissajous figures.This quasi-instrument should be as the instrument of demonstration lissajous figures yet." textbook " be the record, teach scientific knowledge, in " textbook " lining, revising industrial civilian alternating current is not sinusoidal current, meaning is important, concerning science, concerning education cultivate talent, concerning scientific research.

[five] " sand pendulum " demonstration lissajous figures being arranged in " university's mechanics " lining, also is unscientific, because of " sand pendulum " vibration figure line, is not standard sine line, comprises current oscilloscope (with reference to 1).

[six] " university's electromagnetism ", " university's electrotechnics essentials tutorial " lining, there be " rotating vector " to determine the simple harmonic quantity instantaneous value, sine line is depicted in (with reference to 4) on the blank sheet of paper, " automatic drawing apparatus of standard sine line " and " rotating vector " theory, theory and experiment, can constitute complete knowledge hierarchy, promote development in science and technology.

[seven] " automatic drawing apparatus of standard sine line " range of application also has junior middle school's " physics ", " mathematics ", senior middle school's " physics ", " mathematics ", university's " physics ", " mathematics " to use the tracing instrument

The international market has a extensive future, and economic effect is huge.

With reference to 1: the 382nd page, the 383rd page in Pan Anshen, Du Chanying, volume institution of higher education teaching material " general physics study course " " mechanics ", Higher Education Publishing House publishes.

With reference to 2: " Lissajous figure demonstrating and automatically tracing instrument " intuitively is depicted in the graphics proportion 1:1 figure on the common blank sheet of paper automatically.

With reference to 3: Hunan University's Wuhan Water Conservancy and Electric Power College volume, institution of higher education, teaching material on probation, " electrotechnics essentials tutorial ", the 60th page " simple sinusoidal electromotive industrial be that alternating current generator produces ".

With reference to 4: Liang Canbin, Qin Guangshu, Liang Bijian compile the 494th page in institution of higher education's teaching material " electromagnetism " on probation, and Higher Education Publishing House publishes.

The 73rd page of Hunan University of university's " electrotechnics essentials tutorial ", Wuhan Water Conservancy and Electric Power Univ compile

Claims (1)

1, a kind of automatic drawing apparatus of standard sine line is described recording mechanism by framework, the total beam of horizontal vibration, gear mechanism and standard sine line and is formed.

Described framework is made of sill (1), entablature (2), left vertical beam (3), right vertical beam (4), middle vertical beam (5)

The type structural framing, in left vertical beam (3), (4) two side bar inboards of right vertical beam along it directly to centerline direction, an equal length, same widths, same depth, grooved rail (6), (7) of symmetry have in opposite directions all been processed, describe the midpoint that pen (8) is installed in left vertical beam (3) for first, realize that " time shaft " of " standard sine line " intuitively is depicted on the blank sheet of paper automatically.

The total beam of described horizontal vibration (9), horizontal vibration beam (10) by the horizontal direction installation, left end slide block (11), right-hand member slide block (12) is formed, along horizontal vibration beam (10) directly to center line, processed one vertically downward certain-length has been arranged by last, the straight grooved rail (13) that certain width is arranged, describe in the circular hole of left end center line that pen (14) is installed in horizontal vibration beam (10) for second, make it realize and intuitively to be depicted in standard sine line on the blank sheet of paper automatically, a slide block (11) of symmetry is in opposite directions installed at the two ends of horizontal vibration beam (10) respectively, (12), constitute the total beam of horizontal vibration (9), the slide block (11) at the total beam of horizontal vibration (9) two ends, (12) be installed in respectively

Be slidingly matched within the grooved rail (6) of type structural framing left vertical beam (3), right vertical beam (4), (7), realize that each particle on the total beam of horizontal vibration (9) is pressed standard cosine figure line $Y=\mathrm{ACOS}(\frac{2\mathrm{\π}}{T}t+{\mathrm{\φ}}_1)$ The rule vibration.

Described gear mechanism, by gear (15), turning handle (16), cylindrical columns (17) is formed, gear (15) be installed in middle vertical beam (5) midpoint below, turning handle (16) be installed in middle vertical beam (5) midpoint above, both coaxial synchronous rotations, cylindrical columns (17) is installed within the straight grooved rail (13) of the total beam of horizontal vibration (9), its end is vertically mounted on an end of turning handle (16), gear (15), turning handle (16), cylindrical columns (17) is identical synchronous rotation of action period all, gear (15) driving rack (22) translation, each particle on the total beam of cylindrical columns (17) transmission horizontal vibration (9) (comprising that second is described pen (14)) is all pressed the vibration of standard sine line rule;

Described standard sine line is described recording mechanism, describing data board (19) by positive rectangle base plate (18) and positive rectangle forms, on two long limits of positive rectangle base plate (18), an equal in length is installed respectively, width equates, deep equality, in opposite directions the symmetry straight grooved rail (20), (21), installation one toothed rack (22), tooth bar (22) are parallel to the center line of data board (19) on the long length of side of positive rectangle data board (19), constitute perfect standard sine line and describe mechanism, tooth bar (22) cooperates with gear (15) transmission on the gear mechanism;

When realizing that gear (15) rotates, travelling gear (22) with describe data board (19) translation synchronously, realize that describing pen (8) for first intuitively is depicted on the blank sheet of paper of data board (19) automatically to " time shaft ", simultaneously describe pen (14) and intuitively automatically standard sine line is depicted on the blank sheet of paper of data board (19) for second, " equipment gear " is installed to be cooperated with gear (15) and tooth bar (22) transmission, various amplitude is finished in realization, different first phases (angle), the figure line of different frequency, it all is perfect standard sine line, the principle science, figure line is correct, the figure line standard, the figure line stabilization, figure line is smooth fluent, type of the present invention has one to two of equipment gear, with gear (15), tooth bar (22) transmission cooperates, change the length of standard sine line " time shaft ".

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