CN108278351B - Vibration reduction gear based on high-damping alloy pin and design method of alloy pin - Google Patents

Vibration reduction gear based on high-damping alloy pin and design method of alloy pin Download PDF

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CN108278351B
CN108278351B CN201810078266.6A CN201810078266A CN108278351B CN 108278351 B CN108278351 B CN 108278351B CN 201810078266 A CN201810078266 A CN 201810078266A CN 108278351 B CN108278351 B CN 108278351B
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gear
damping
grooves
core transmission
alloy pin
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CN108278351A (en
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盛冬平
李晓贞
陈川
肖华星
金祥曙
尹飞鸿
陈勇将
徐红丽
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Changzhou Institute of Technology
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02—Toothed members; Worms
    • F16H55/12—Toothed members; Worms with body or rim assembled out of detachable parts
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02—Toothed members; Worms
    • F16H55/14—Construction providing resilience or vibration-damping
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02—Toothed members; Worms
    • F16H55/17—Toothed wheels
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02—Toothed members; Worms
    • F16H55/17—Toothed wheels
    • F16H2055/173—Crown gears, i.e. gears have axially arranged teeth
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H57/00—General details of gearing
    • F16H2057/0087—Computer aided design [CAD] specially adapted for gearing features ; Analysis of gear systems

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Abstract

The invention discloses a vibration reduction gear based on a high-damping alloy pin and a design method of the alloy pin. The vibration reduction gear comprises a gear, a high-damping alloy pin and a core transmission part sleeved in the gear, wherein a plurality of grooves are formed in the inner circumference of the gear, a plurality of grooves are also formed in the positions, opposite to the grooves in the gear, of the outer circumference of the core transmission part, and the high-damping alloy pin is arranged in a through hole formed by the grooves in the gear and the grooves in the core transmission part together. The invention provides a primary or secondary vibration damping gear formed by adding a high-damping alloy pin into a gear core part, which can achieve the purpose of reducing vibration and noise under the condition of ensuring rigidity, strength and bending/contact fatigue life.

Description

Vibration reduction gear based on high-damping alloy pin and design method of alloy pin
Technical Field
The invention relates to a vibration reduction gear structure, in particular to a vibration reduction gear with a high-damping alloy pin and a design method of the alloy pin.
Background
The gear transmission is applied to various industries, and in the mechanical industry, gears are generally needed only in places needing transmission requirements, so that the gear transmission has the advantages of high strength, high power and the like. It is undeniable that the vibrations and noise present during the transmission can cause discomfort to the working environment. With the improvement of the requirements of working man-machine environment, the requirements for reducing vibration and noise in the gear transmission process are continuously improved.
At present, researches on reducing vibration and noise in the gear transmission process are mainly realized by focusing on the aspects of tooth surface modification, material properties of contact surfaces, load distribution and the like, the aims of reducing vibration and noise by increasing damping in the gear transmission process are not achieved, and the vibration and noise of a system can be remarkably reduced by increasing the damping performance of a gear to absorb dynamic vibration energy in the transmission process.
Disclosure of Invention
Under the condition that the combined gear meets the requirements of strength, rigidity, bending fatigue, contact fatigue and the like, the damping performance of gear transmission is obviously improved, and vibration and noise are reduced.
The technical scheme of the invention is as follows:
the invention provides a vibration reduction gear based on a high-damping alloy pin, which comprises a gear, the high-damping alloy pin and a core transmission part sleeved in the gear, wherein a plurality of grooves are formed in the inner circumference of the gear, a plurality of grooves are also formed in the positions, opposite to the grooves in the gear, of the outer circumference of the core transmission part, and the high-damping alloy pin is arranged in a through hole formed by the grooves in the gear and the grooves in the core transmission part.
Further, the gear types include spur gears, helical gears, bevel gears, and curved gears.
Further, the number of the core transmission pieces is 1.
Further, the core transmission is 2 or more, so that the vibration reduction gear includes an outermost gear, an innermost core transmission, and at least one-stage intermediate layer of core transmission provided between the outermost gear and the innermost core transmission.
Furthermore, a plurality of grooves matched with the grooves in the gear are formed in the outer portion of the core transmission piece of the middle layer, and a plurality of grooves matched with the grooves in the outer portion of the core transmission piece of the adjacent stage are formed in the inner portion of the core transmission piece of the middle layer.
Furthermore, the high-damping alloy pin is installed in an interference fit mode, or the high-damping vibration damping pin is designed into a structural form of a bolt and a nut, so that screwing installation is realized.
The invention also provides a design method of the alloy pin in the vibration reduction gear based on the high-damping alloy pin, which comprises the following steps:
step 1: obtaining basic design parameters of the transmission system, including input power, transmission ratio, and tooth number z of each gear1、z2、z3And parameters of modulus m;
step 2: outer diameter P of core transmission member1Wall thickness P2The number P of the high damping alloy damping pins3Outer diameter P of damper pin4As a design variable parameter;
and step 3: according to P1、P2、P3And P4Designing an assembly of a primary vibration reduction gear according to the initial value;
and 4, step 4: performing static torsional rigidity calculation and modal analysis on a three-dimensional model of the primary vibration reduction gear assembly designed according to the primary design parameters to obtain required parameters;
and 5: variation parameter P1、P2、P3And P4Through cyclic calculation, the static torsional rigidity k of the primary vibration reduction gear assembly in the parameter variable range is obtainedtAnd damping ratio crMaximum value of product of (1) max (P) at (K)1、P2、P3And P4；
Step 6: checking whether the strength and the service life of the primary damping gear and the damping pin under the group of parameters meet the design requirements, and if so, finishing the design based on the high-damping gear; if not, adjust P1、P2、P3And P4Recalculating to obtain the optimal value of the parameter range;
further, in step 4, the parameter includes torsional rigidity ktNatural frequency f, modal damping ratio cr(ii) a Wherein the content of the first and second substances,
Figure BDA0001560246100000021
where T is the torque applied to the gearMoment, ddIs the torsion angle of the gear under the torque T.
Further, in step 5, K is a comprehensive dynamic performance parameter, which is expressed as follows:
Figure BDA0001560246100000022
the invention has the following beneficial effects:
the invention obviously improves the damping performance of gear transmission, reduces the vibration and noise of a transmission system and prolongs the fatigue life under the condition that the combined gear meets the requirements of strength, rigidity, bending fatigue, contact fatigue and the like.
Drawings
FIG. 1 is a schematic view of a primary damper gear assembly based on a high damping alloy design.
FIG. 2 is an exploded view of a primary damper gear assembly based on a high damping alloy design.
FIG. 3 is a schematic structural diagram of a primary vibration reduction bevel gear based on a high-damping alloy design.
FIG. 4 is an exploded view of a primary damping bevel gear based on a high damping alloy design.
FIG. 5 is a schematic diagram of a two-stage damper gear design based on high damping alloys.
FIG. 6 is a schematic diagram of a two-stage damper gear design based on high damping alloys.
FIG. 7 is a flow chart of the design of a high damping damper gear.
In the figure: 1-gear, 2-first core transmission piece, 3-high damping alloy pin and 4-second core transmission piece.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
Fig. 1 is a cylindrical gear assembly with a primary damping function, and fig. 2 is an exploded view of the primary damping cylindrical gear assembly, the damping gear based on the high damping alloy pin of the present invention includes a gear 1, a core transmission member sleeved in the gear, and a high damping alloy pin 3, wherein the inner circumference of the gear 1 is provided with a plurality of grooves, and the outer circumference of the core transmission member is also provided with a plurality of grooves at positions opposite to the grooves on the gear 1. The high-damping alloy pin 3 is arranged in a through hole formed by the grooves of the gear 1 and the grooves of the core transmission piece.
The gear type of the present invention is not limited, and may be straight gear, helical gear, bevel gear, curved gear, or any other type of gear capable of achieving the object of the present invention, fig. 3 is a first-stage damping bevel gear assembly, fig. 4 is an exploded view of the first-stage damping bevel gear assembly, and the structure is similar to fig. 2.
The core transmission members in the present invention may also be provided in 2 or more numbers, so that the damper gear of the present invention includes the outermost gear, the innermost core transmission member, and the core transmission member of at least one intermediate layer provided between the outermost gear and the innermost core transmission member, forming a multistage damper gear. The outer part of the core part transmission part of the middle layer is provided with a plurality of grooves matched with the grooves in the gear, and the inner part of the core part transmission part of the middle layer is provided with a plurality of grooves matched with the grooves in the outer part of the core part transmission part of the adjacent stage. Fig. 5 is an example of a two-stage vibration-damping cylindrical gear, and fig. 6 is an exploded view of an overall view of the two-stage vibration-damping cylindrical gear, which includes the first core transmission member 2 and the second core transmission member 4, and the two sets of high-damping alloy pins 2 may be designed in the same form or in different forms according to actual needs. The high damping alloy pin 2 can be installed in an interference fit mode, and the high damping vibration attenuation pin can be designed into a bolt and nut structure mode to achieve screwing installation.
The first-stage vibration reduction gear has obvious vibration reduction and noise reduction effects, the second-stage vibration reduction gear has more obvious vibration reduction and noise reduction effects, and the better effect of the second-stage vibration reduction gear is realized by increasing the cost. Therefore, the specific selection of the primary damping gear or the secondary damping gear is determined according to actual requirements.
The high-damping alloy vibration damping pin has the strength of low-carbon steel and high damping performance, the logarithmic attenuation rate of the high-damping alloy vibration damping pin can reach 0.63 at most, and the basic physical properties of the high-damping alloy vibration damping pin are as follows:
young's modulus 70GPa(＜70K)
Thermal conductivity 10W/mK(300K)
Specific heat 512.7J/KgK(300K)
Thermal expansion rate 22.4*10－6/deg(300K)
Density of 7250kg/m3
Mechanical properties at Normal temperature:
thermal treatment Yield strength (MPa) Tensile strength (Mpa) Percentage of elongation%
Annealing 215 500 35
The chemical components mainly comprise (unit%):
Mn Cu Ni Fe
70.6 22.3 5.1 2.0
the design method of the high damping alloy pin is shown in fig. 7, besides basic input parameters such as transmission ratio, modulus, tooth width and the like, the design parameters of gear transmission also have a plurality of unknown variables, and the optimal vibration and noise reduction effect needs to be achieved according to a certain design method. Taking a first-stage damping gear as an example, the specific design method is as follows:
(1) obtaining basic design parameters of the transmission system, including input power, transmission ratio, and tooth number z of each gear1、z2、z3And modulus m;
(2) outer diameter P of core transmission member1Wall thickness P2The number P of the high damping alloy damping pins3Outer diameter P of damper pin4As a design variable parameter;
(3) according to P1、P2、P3And P4Designing a primary damping gear according to the initial valueThe assembly of (1);
(4) calculating static torsional rigidity and performing modal analysis on a three-dimensional model of the primary vibration reduction gear assembly designed according to the primary design parameters to obtain torsional rigidity k of the primary vibration reduction gear assemblytNatural frequency f, modal damping ratio crThe like;
Figure BDA0001560246100000041
where T is the torque applied to the gear and ddIs the torsion angle of the gear under the torque T.
(5) Variation parameter P1、P2、P3And P4Through cyclic calculation, the static torsional rigidity k of the primary vibration reduction gear assembly in the parameter variable range is obtainedtAnd damping ratio crMaximum value of product of (1) max (P) at (K)1、P2、P3And P4Where K is the comprehensive dynamic performance parameter, and is formulated as follows:
Figure BDA0001560246100000051
(6) and checking whether the strength and the service life of the primary damping gear and the damping pin under the group of parameters meet the design requirements, and if so, finishing the design based on the high-damping gear. If not, adjust P1、P2、P3And P4And recalculating to obtain the optimal value of the parameter range.
In summary, the invention proposes to form a primary or secondary vibration damping gear by adding a high damping alloy pin in the gear core part, so as to achieve the purpose of reducing vibration and noise under the condition of ensuring rigidity, strength and bending/contact fatigue life.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the present invention. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (2)

1. The vibration reduction gear based on the high-damping alloy pin comprises a gear, the high-damping alloy pin and a core transmission part sleeved in the gear, wherein a plurality of grooves are formed in the inner circumference of the gear, a plurality of grooves are also formed in the positions, opposite to the grooves in the gear, of the outer circumference of the core transmission part, and the high-damping alloy pin is arranged in a through hole formed by the grooves in the gear and the grooves in the core transmission part; the core transmission members are 2 or more, so that the damper gear includes an outermost gear, an innermost core transmission member, and at least one intermediate layer of core transmission members disposed between the outermost gear and the innermost core transmission member; the method comprises the following steps:
step 1: obtaining basic design parameters of the transmission system, including input power, transmission ratio, and tooth number z of each gear1、z2、z3And parameters of modulus m;
step 2: outer diameter P of core transmission member1Wall thickness P2The number P of the high damping alloy pins3Outer diameter P of high damping alloy pin4As a design variable parameter;
and step 3: according to P1、P2、P3And P4Designing an assembly of a primary vibration reduction gear according to the initial value;
and 4, step 4: performing static torsional rigidity calculation and modal analysis on a three-dimensional model of the primary vibration reduction gear assembly designed according to the primary design parameters to obtain required parameters;
and 5: variation parameter P1、P2、P3And P4The torsional rigidity k of the primary vibration reduction gear assembly in the parameter variable range is obtained through cyclic calculationtAnd damping ratio crMaximum value of product of (1) max (P) at (K)1、P2、P3And P4(ii) a Wherein K is a comprehensive dynamic performance function and is expressed as follows:
Figure FDA0003116362980000011
step 6: checking whether the strength and the service life of the primary damping gear and the damping pin under the group of parameters meet the design requirements, and if so, finishing the design based on the high-damping gear; if not, adjust P1、P2、P3And P4And recalculating to obtain the optimal value of the parameter range.
2. The method of claim 1, wherein: in step 4, the parameters comprise torsional rigidity ktNatural frequency f, damping ratio cr(ii) a Wherein the content of the first and second substances,
Figure FDA0003116362980000012
where T is the torque applied to the gear and ddIs the torsion angle of the gear under the torque T.
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CN109281683B (en) * 2018-11-05 2020-08-14 大连理工大学 Vibration reduction design method for hard rock heading machine for changing bolt material at flange of cutter head
CN111288125B (en) * 2020-02-12 2021-03-19 常州工学院 Planetary gear transmission system with high-damping high-flexibility bearing nested structure
CN111828591B (en) * 2020-06-11 2022-05-17 重庆大学 Novel intelligent gear

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JP2011256941A (en) * 2010-06-09 2011-12-22 Nok Corp Gear damper
CN202274061U (en) * 2011-09-13 2012-06-13 湖南金程齿轮传动机械有限公司 Damping gear for electric tool
CN103912656A (en) * 2014-04-03 2014-07-09 中国船舶重工集团公司第七一一研究所 Vibration-damping type gear

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