CN203313093U - Wheel-type piezoelectric beam generator based on clamping limit - Google Patents

Wheel-type piezoelectric beam generator based on clamping limit Download PDF

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CN203313093U
CN203313093U CN2013203136127U CN201320313612U CN203313093U CN 203313093 U CN203313093 U CN 203313093U CN 2013203136127 U CN2013203136127 U CN 2013203136127U CN 201320313612 U CN201320313612 U CN 201320313612U CN 203313093 U CN203313093 U CN 203313093U
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piezoelectric vibrator
magnet
excitation
piezoelectric
right end
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阚君武
徐海龙
王淑云
李胜杰
曾平
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Zhejiang Normal University CJNU
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Abstract

本实用新型涉及一种基于夹持限位的轮式压电梁发电机,属于新能源和发电技术领域。左右端盖通过螺钉安装在壳体上,左右端盖底部镶嵌有限位环一和轴承;壳体上设有安装有限位环的环形盘;左右端盖和壳体间压接有压电振子,压电振子的另一端夹持在限位环之间、自由端安装有动磁铁;激励盘转轴通过轴承安装在左右端盖上,激励盘盘体上镶嵌有定磁铁。优点是利用激励盘重心偏移的特性使其保持相对静止,从而使安装在激励盘上的定磁铁与随压电振子旋转的动磁铁之间产生相对转动并激励压电振子发电,无需外界固定支撑;使用中无需改变叶片结构,且便于安装与维护;压电振子因受限位环制约,可靠性高、有效速带宽。

The utility model relates to a clamping and limiting wheeled piezoelectric beam generator, which belongs to the technical field of new energy and power generation. The left and right end covers are installed on the shell through screws, and the bottom of the left and right end covers is inlaid with a limit ring and a bearing; the shell is provided with an annular disk for installing a limit ring; a piezoelectric vibrator is crimped between the left and right end covers and the shell, The other end of the piezoelectric vibrator is clamped between the limit rings, and a moving magnet is installed at the free end; the rotating shaft of the excitation disk is installed on the left and right end covers through bearings, and the body of the excitation disk is embedded with a fixed magnet. The advantage is that the center of gravity of the excitation plate is offset to keep it relatively stationary, so that the relative rotation between the fixed magnet installed on the excitation plate and the moving magnet rotating with the piezoelectric vibrator is generated, and the piezoelectric vibrator is excited to generate electricity without external fixation Support; there is no need to change the blade structure during use, and it is easy to install and maintain; the piezoelectric vibrator is restricted by the limit ring, with high reliability and effective speed bandwidth.

Description

A kind of based on the spacing wheeled piezoelectric beam generator of clamping
Technical field
The utility model belongs to new forms of energy and technical field of power generation, is specifically related to a kind ofly based on the spacing wheeled piezoelectric beam generator of clamping, powers for the blade of wind-driven generator monitoring system.
Background technology
Blade is wind-driven generator reception wind energy the critical component that converts thereof into kinetic energy, has determined reliability and useful life that generator is overall.Blade of wind-driven generator is usually operated at than under rugged environment, and self structure yardstick, weight and service load etc. are all very large, except because being subjected to irresistible natural calamity such as thunderbolt and earthquake etc. damages, the blade injury that spontaneous corrosion, wearing and tearing and fatigue stress etc. cause is also inevitable.Production practices show, in the wind-driven generator running, have an accident 1st/3rd, because of blade injury caused, therefore the health monitoring of fan blade is imperative.Along with the increase day by day of fan blade length and blower fan total number, relied on the method for manually making regular check on and being safeguarded can't meet Production requirement in the past.Therefore, people have proposed blade of wind-driven generator health status monitoring method or the technology of various ways, as Chinese patent 201210442074.1,200810057405.3,201110397347.0,201210149265.9 etc., for the Real-Time Monitoring of the states such as blade crackle, wearing and tearing and distortion provides effective means.But the powerup issue of existing automatic sensing and monitoring system not yet is well solved at present; therefore be difficult to, apply on a large scale; reason is: sensing and monitoring system need to be arranged on blade and with blade rotation; can't provide electric energy by wire, change battery and need often to shut down while adopting powered battery.Therefore, need a kind of microminiature Blast Furnace Top Gas Recovery Turbine Unit (TRT) of exploitation to meet the self-powered demand of monitoring system.
In recent years, for meeting the self-powered demand of all kinds of wireless sensing monitoring systems, people have proposed multiple microminiature oscillatory type piezoelectric generator, because of it, take the sheet type piezoelectric vibrator and be inverting element, therefore simple in structure, volume is little, integrated height, be particularly suited for wireless sensing monitoring system self-powered, the application that succeeded of some type oscillatory type piezoelectric generator.For meeting the power demands of rotary body health monitoring systems, utility model people had also once proposed multiple based on the rotary piezoelectric generator of magnetic couple excitation, as Chinese patent 201210319215.0,201210320165.8,201210318782.4,201210318930.2 etc.The characteristics of above-mentioned various rotary generators are must be by the effective excitation that realizes piezoelectric vibrator that relatively rotates between " fixtures " such as bearing pedestal or bearing caps and axle class " rotary body ", therefore can't be for the rotary body power generation needs of " without fixed support ", as the blade of rotation wind driven generator and automobile tire etc.
What in addition, existing rotary piezoelectric generator adopted is to wait width piezoelectric vibrator and its stiff end diameter to be less than free-ended diameter, drawback that magnet is installed to be: during piezoelectric vibrator flexural deformation, Root Stress is large, easily causes the piezoelectric vibrator damage; One timing of generator radial direction yardstick, a little less than little, the overall generating capacity of the area of piezoelectric vibrator; During high rotating speed, magnet centrifugal force can make that the axial vibration displacement of piezoelectric vibrator reduces, friction even, therefore generating efficiency is low; Most critical be, in work, piezoelectric vibrator bears pulse excitation, in a plurality of obvious vibration peaks, piezoelectric vibrator work, STRESS VARIATION is large, reliability is low therefore exist, effective speed belt is narrow.
Summary of the invention
It is a kind of based on the spacing wheeled piezoelectric beam generator of clamping that the utility model provides, and the problem that can't apply to solve the existing rotary piezoelectric generator extraneous fixed support of needs, to meet the power demands of blade of wind-driven generator monitoring system.
The technical solution adopted in the utility model is: left end cap and right end cap are arranged on respectively the barrel two ends of housing by screw, and described left and right end cap bottom inside is inlaid with respectively spacing ring one and bearing; Described housing is provided with two annular disks, by screw, is separately installed with spacing ring two on described two annular disks; Between the barrel of left end cap and housing and between the barrel of right end cap and housing, be crimped with respectively metal substrate, the piezoelectric chip of described metal substrate and its two side bonds forms piezoelectric vibrator jointly, the other end of described piezoelectric vibrator is clamped between the cusp of spacing ring one and spacing ring two, shown in the free end of piezoelectric vibrator by screw, moving magnet is installed; The rotating shaft two ends of cam-type excitation dish are arranged on left end cap and right end cap by bearing respectively, are inlaid with fixed magnet on the disk body of excitation dish; Identical and described each magnetic blow out centre of the radius of described moving magnet and fixed magnet equates apart from the distance of the centre of gyration of the rotating shaft of excitation dish; The pole orientation that is positioned at the fixed magnet that two circumferencial directions on excitation dish disk body are adjacent is opposite, and the opposite pole of moving magnet that is placed in piezoelectric vibrator end, the excitation dish disk body left and right sides is identical near the pole configuration direction of the moving magnet of installing and be placed in excitation dish disk body the same side.
For guaranteeing that the generator work hour indicator physique heart is in the spindle central below all the time, disk body gravity should meet: η wherein nFor being arranged on the moving magnet quantity and the greatest common divisor that is arranged on the fixed magnet quantity on disk body on disk body one side pressure electric tachometer indicator, Q<150 ° are the central angle of eccentric circular ring disk body, F yFor between moving magnet and fixed magnet, producing maximum repulsive force in the circumferential direction of the circle, R is the distance of the center of moving magnet and fixed magnet to spindle central, R GFor the distance of disk body barycenter to spindle central.
For guaranteeing in piezoelectric vibrator work because suffered stress is excessive, does not damage and make piezoelectric vibrator to bear attraction and the repulsive force alternately changed, should meet following relation between each parameter of generator:
Figure BDA00003285960400022
Q 0=4arcsin (r/R), wherein, μ 0For permeability of vacuum, l is the axial distance between moving magnet and fixed magnet adjacent pole, and L is two axial distances between the moving magnet adjacent pole, m 1, m 2Be respectively the magnetic moment of moving magnet and fixed magnet, λ is the coefficient relevant with the structure of piezoelectric vibrator and material parameter, σ *For the allowable tensile stress of piezoelectric chip material, Q 0For the angle between two adjacent fixed magnet centers on excitation dish disk body and excitation dish spindle central line.
The utility model has the advantages that novel structure, 1. utilize the characteristic of cam-type excitation dish centre-of gravity shift to make relative its spindle central of excitation dish keep static, thereby make to be arranged between fixed magnet on the excitation dish and the moving magnet with piezoelectric vibrator rotation, produce relative rotation, realize effective excitation the generating of piezoelectric vibrator, without extraneous fixed support; 2. this generator is parts independently, without changing the blade prototype structure, and is convenient to I&M in use procedure; 3. piezoelectric vibrator is because restricted by spacing ring, therefore high, the effective speed belt of the reliability of generator is wide, axial dimension is little; 4. the axial balanced configuration of piezoelectric vibrator, its vibration force is cancelled out each other, and can not pass to blade of wind-driven generator.
The accompanying drawing explanation
Fig. 1 is the section of structure of Blast Furnace Top Gas Recovery Turbine Unit (TRT) in preferred embodiment of the utility model;
Fig. 2 is the A-A view of Fig. 1;
Fig. 3 is the structural representation of housing;
Fig. 4 is the structural representation of spacing ring two;
Fig. 5 is the output voltage-rotation speed characteristic comparison diagram of clamping spacing generator and cantilever beam generator.
Embodiment
Left end cap 1 and right end cap 3 are arranged on respectively the two ends of the barrel 201 of housing 2 by screw, described left end cap 1 and right end cap 3 bottom inside are inlaid with respectively spacing ring 1 and bearing 8; Described housing 2 is provided with two annular disks 202, by screw, is separately installed with spacing ring 26 on described two annular disks 202; Between the barrel 202 of left end cap 1 and housing 2 and between the barrel 202 of right end cap 3 and housing 2, be crimped with respectively metal substrate 401, described metal substrate 401 and the common formation piezoelectric vibrator 4 of the piezoelectric chip 402 of its two side bonds, the other end of described piezoelectric vibrator 4 is clamped between the cusp of spacing ring 1 and spacing ring 26, shown in the free end of piezoelectric vibrator 4 by screw, moving magnet 7 is installed; Rotating shaft 901 two ends of cam-type excitation dish 9 are arranged on left end cap 1 and right end cap 3 by bearing 8 respectively; On the disk body 902 of excitation dish 9, be inlaid with fixed magnet 10; The radius of described moving magnet 7 and fixed magnet 10 is identical and described each magnetic blow out centre is equal apart from the distance of the centre of gyration of the rotating shaft 901 of excitation dish 9; The pole orientation that is positioned at the fixed magnet 10 that two circumferencial directions on the disk body 902 of excitation dish 9 are adjacent is opposite, be placed in the opposite pole of moving magnet 7 of disk body 902 arranged on left and right sides piezoelectric vibrator 4 ends near installing, and put identical with the pole configuration direction of the moving magnet 7 of disk body 902 the same sides.
For guaranteeing that the generator work hour indicator physique heart is in the spindle central below all the time, disk body gravity should meet:
Figure BDA00003285960400031
η wherein nFor being arranged on the moving magnet quantity and the greatest common divisor that is arranged on the fixed magnet quantity on disk body on disk body one side pressure electric tachometer indicator, Q<150 ° are the central angle of eccentric circular ring disk body, F yFor between moving magnet and fixed magnet, producing maximum repulsive force in the circumferential direction of the circle, R is the distance of the center of moving magnet and fixed magnet to spindle central, R GFor the distance of disk body barycenter to spindle central.
For guaranteeing in piezoelectric vibrator work because suffered stress is excessive, does not damage and make piezoelectric vibrator to bear attraction and the repulsive force alternately changed, should meet following relation between each parameter of generator:
Figure BDA00003285960400041
Q 0=4arcsin (r/R), wherein, μ 0For permeability of vacuum, l is the axial distance between moving magnet and fixed magnet adjacent pole, and L is two axial distances between the moving magnet adjacent pole, m 1, m 2Be respectively the magnetic moment of moving magnet and fixed magnet, λ is the coefficient relevant with the structure of piezoelectric vibrator and material parameter, σ *For the allowable tensile stress of piezoelectric chip material, Q 0For the angle between two adjacent fixed magnet centers on excitation dish disk body and excitation dish spindle central line.
In the course of work, right end cap 3 is arranged on blade of wind-driven generator 11 by screw, and rotates around wind driven generator principal shaft 12 with wind-driven generator blade 11; When moving magnet 7 is underlapped in a circumferential direction near fixed magnet 10 and described two magnet in a circumferential direction, between moving magnet 7 and fixed magnet 10, produce directed force F in the circumferential direction of the circle yThereby, produce the driving torque M that fixed magnet 10 is rotated along rotating shaft 901 y, when moving magnet 7 and fixed magnet 10 driving moment maximum when circumferencial direction " tangent ", be M y=RF y, wherein R is the distance that rotating shaft 901 centers are arrived at moving magnet 7 and fixed magnet 10De center; Due to the barycenter of the disk body 902 of the wheeled excitation dish 9 of the utility model convexity, be positioned at the below of rotating shaft 901, when disk body 902 because being subjected to driving torque M yEffect turns over certain angle Q 1The time, the gravity G of disk body 902 produces a reverse brake torque M G=GR GCosQ 1, R wherein GFor the distance of disk body 902 barycenter to rotating shaft 901 centers.
For the barycenter of guaranteeing disk body 902 in the generator course of work, be in all the time the below at rotating shaft 901 centers, should make to work as disk body 902 corners is Q 1Between=(180-Q)/2 o'clock each moving magnets 7 and fixed magnet 10, the driving torque sum is less than or equal to brake torque, namely
Figure BDA00003285960400042
The gravity that obtains thus disk body 902 should meet: η wherein nFor being arranged on the quantity n of the moving magnet 7 on disk body 902 1 side pressure electric tachometer indicators 4 aWith the quantity n that is arranged on the fixed magnet 10 on disk body 902 bGreatest common divisor, Q<150 ° are the central angle of eccentric circular ring disk body 902.
When disk body 902 does not rotate with right end cap 3, produce relative rotation between moving magnet 7 and fixed magnet 10; And then change the suffered axial repulsive force of moving magnet 7, make piezoelectric vibrator 4 produce reciprocal axial bending distortion and convert mechanical energy to electric energy.
In the above-mentioned course of work of generator, the suffered axial force of piezoelectric vibrator is the axial force between moving magnet 7 and fixed magnet 10.The left side moving magnet 7 in Fig. 1 of take is example, and its suffered total axial force is:
Figure BDA00003285960400051
Wherein :+,-number mean respectively attraction and repulsive force,
Figure BDA00003285960400052
For the active force between moving magnet 7 and fixed magnet 10, Be the axial attraction between two moving magnets 7, η SFor the ratio of the overlapping area between moving magnet 7 and single or fixed magnet 10 that two circumferencial directions are adjacent with the magnet gross area, l is the axial distance between moving magnet 7 and fixed magnet 10 adjacent poles, and L is two axial distances between moving magnet 7 adjacent poles, m 1, m 2Be respectively the magnetic moment of moving magnet 7 and fixed magnet 10, μ 0For permeability of vacuum.When moving magnet 7 overlapped with fixed magnet 10 center lines, Area Ratio was η S=1, now the attraction between moving, fixed magnet is greater than repulsive force, therefore the suffered maximum force of piezoelectric vibrator 4 is
Figure BDA00003285960400054
For guaranteeing that piezoelectric chip 402, at work not because bearing excessive tension stress damage, should make
Figure BDA00003285960400055
Wherein λ is the coefficient relevant with the structure of piezoelectric vibrator 4 and material parameter, σ *Allowable tensile stress for the piezoelectric chip material.
For making between moving magnet 7 and fixed magnet 10 to produce attraction and the repulsive force alternately changed, in the utility model, should not overlap simultaneously with two adjacent fixed magnets 10 in moving magnet 7 rotary courses, be moving magnet 7 when with a fixed magnet, " cutting out " with another fixed magnet " incision ", Area Ratio now is η S=0, the angle on the disk body 902 of excitation dish 9 between the line at rotating shaft 901 centers of two adjacent fixed magnet 10De centers and excitation dish 9 should be Q 0=4arcsin (r/R), wherein r, R are respectively radius and the corresponding radius of gyration of magnetic blow out centre of magnet.In this case, what piezoelectric vibrator 4 bore is harmonic excitation, therefore only can under its natural frequency, resonate; On the contrary, cantilever beam type piezoelectric vibrator generator for existing infinite place ring clamping, for avoiding moving, between fixed magnet, adsorb, can only adopt the method excitation of repulsion, its energisation mode is the periodic shock excitation, the cantilever beam type piezoelectric vibrator all formant can occur when the integral multiple of its natural frequency or integer/mono-times, during resonance, amplitude is excessive easily causes the piezoelectric vibrator damage but not resonance point may can't meet instructions for use because of amplitude and the brownout generated again.
It is fan-shaped in the utility model, adopting piezoelectric vibrator 4, and the width of stiff end is greater than free-ended width.According to mechanics of materials knowledge, the stress distribution that the stress distribution ratio on fan-shaped piezoelectric vibrator length direction waits the width cantilever beam piezoelectric vibrators evenly and the maximum stress less of stiff end, thereby improve intensity and the reliability of generator; Simultaneously, while adopting fan-shaped piezoelectric vibrator, the ξ when in the generator cross section, the effective area of piezoelectric vibrator waits the width cantilever beam piezoelectric vibrators for employing=(R d/ r x+ 1)/2 times, R wherein dAnd r xBe respectively the rear large radius of piezoelectric vibrator of assembling and minor radius, as R d/ r x=5 ξ=3.Therefore in the situation that the suffered mean stress of piezoelectric vibrator equate, the energy output of fan-shaped cantilever beam piezoelectric vibrators is the ξ that waits the width cantilever beam piezoelectric vibrators=(R d/ r x+ 1)/2 times; In addition, while adopting fan-shaped piezoelectric vibrator, the radius of gyration of its end magnet is little, therefore centrifugal force self and little on the impact of magnet axial motion can be realized the effective generating under high rotating speed.
In the utility model, the free end of piezoelectric vibrator 4 is clamped by the cusp of two spacing rings 1 and spacing ring 26, cusp around described spacing ring while being subjected to External Force Acting rotates, with the cantilever beam piezoelectric vibrators of infinite place ring, compare its bending rigidity and natural frequency is high, the free end axial deflection is little, therefore the voltage of two kinds of different operating mode piezoelectric vibrators-rotary speed property difference, i.e. Vg-n characteristic curve difference in Fig. 5.In Fig. 5, ZL and XL are respectively the voltage response of restraining position ring block piezoelectric vibrator in conventional cantilever beam piezoelectric vibrator and the utility model, as can be seen from the figure, a plurality of rotating speeds that make output voltage peak value occur are arranged in the ZL curve, and maximum and minimum voltage differ larger, when maximum voltage is too high, easily make piezoelectric vibrator be difficult to again meet the demand of powering in real time when too low because being out of shape excessive and cracked minimum voltage; Comparatively speaking, the maximum of XL curve and the difference of minimum voltage are less, and namely piezoelectric vibrator is less in the fluctuation of whole rotating speed territory internal stress during restraining position ring block, and piezoelectric vibrator is unlikely because being out of shape excessive the damage, therefore high, the effective speed belt of reliability is wide.In the 100-900r/min scope, the magnitude of voltage of XL curve all is greater than the required 5V supply power voltage of sensing and monitoring system, and the voltage of ZL curve after rotating speed is greater than 500r/min is all lower than 5V, so in the utility model, adopt the deflection of spacing ring restriction piezoelectric vibrator can effectively improve reliability and effective speed belt width of piezoelectric vibrator.
In the utility model, utilize the characteristic of cam-type excitation dish centre-of gravity shift to make relative its spindle central of excitation dish keep static, thereby make to be arranged between fixed magnet on the excitation dish and the moving magnet with piezoelectric vibrator rotation, produce relative rotation, realize effective excitation the generating of piezoelectric vibrator, without extraneous fixed support; This generator is parts independently, without changing the blade prototype structure, and is convenient to I&M in use procedure; Piezoelectric vibrator is because restricted by spacing ring, therefore high, the effective speed belt of the reliability of generator is wide, axial dimension is little.

Claims (2)

1.一种基于夹持限位的轮式压电梁发电机,其特征在于:左端盖和右端盖分别通过螺钉安装在壳体的筒壁两端,所述左、右端盖底部内侧分别镶嵌有限位环一和轴承;所述壳体上设有两个环形盘,在所述两个环形盘上通过螺钉分别安装有限位环二;在左端盖和壳体的筒壁之间、以及右端盖和壳体的筒壁之间分别压接有金属基板,所述金属基板与其两侧粘接的压电晶片共同构成压电振子,所述压电振子的另一端夹持在限位环一和限位环二的尖点之间,所示压电振子的自由端通过螺钉安装有动磁铁;凸轮式激励盘的转轴两端分别通过轴承安装在左端盖及右端盖上,激励盘的盘体上镶嵌有定磁铁;所述动磁铁与定磁铁的半径相同、且所述各磁铁中心距激励盘的转轴的回转中心的距离相等;位于激励盘盘体上的两个圆周方向相邻的定磁铁的磁极方向相反,置于激励盘盘体左右两侧压电振子端部的动磁铁的异性磁极靠近安装、且置于激励盘盘体同一侧的动磁铁的磁极配置方向相同。1. A wheeled piezoelectric beam generator based on clamping and positioning, characterized in that: the left end cover and the right end cover are respectively installed on the two ends of the cylinder wall of the housing through screws, and the inner sides of the bottom of the left and right end covers are respectively inlaid Limiting ring 1 and bearings; two annular disks are arranged on the housing, and limiting ring 2 is respectively installed on the two annular disks through screws; between the left end cover and the cylinder wall of the housing, and at the right end Metal substrates are respectively crimped between the cover and the cylinder wall of the housing, and the piezoelectric wafers bonded on both sides of the metal substrates together form a piezoelectric vibrator, and the other end of the piezoelectric vibrator is clamped by a limit ring. Between the sharp point of the limit ring 2 and the free end of the piezoelectric vibrator shown, a moving magnet is installed through a screw; the two ends of the rotating shaft of the cam-type excitation disk are respectively installed on the left end cover and the right end cover through bearings, and the disk of the excitation disk The body is inlaid with a fixed magnet; the radius of the moving magnet is the same as that of the fixed magnet, and the distance between the centers of the magnets and the center of rotation of the rotating shaft of the excitation disk is equal; The magnetic pole directions of the fixed magnets are opposite, and the opposite magnetic poles of the moving magnets placed at the ends of the piezoelectric vibrator on the left and right sides of the excitation disk body are installed close to each other, and the magnetic poles of the moving magnets placed on the same side of the excitation disk body are arranged in the same direction. 2.根据权利要求1所述的一种基于夹持限位的轮式压电梁发电机,其特征在于:激励盘盘体重力应满足:
Figure FDA00003285960300011
其中ηn为安装在激励盘盘体一侧压电振子上的动磁铁数量与安装在激励盘盘体上的定磁铁数量的最大公约数,Q<150°为扇形环盘体的中心角,Fy为动磁铁和定磁铁之间产生沿圆周方向的最大排斥力,R为动磁铁及定磁铁的中心到转轴中心的距离,RG为激励盘盘体质心到转轴中心的距离。
2. A wheeled piezoelectric beam generator based on clamping and limiting according to claim 1, characterized in that: the gravity of the excitation disk should satisfy:
Figure FDA00003285960300011
Among them, ηn is the greatest common divisor of the number of moving magnets installed on the piezoelectric vibrator on one side of the excitation disk body and the number of fixed magnets installed on the excitation disk body, Q<150° is the central angle of the fan-shaped ring disk body, F y is the maximum repulsive force in the circumferential direction between the moving magnet and the fixed magnet, R is the distance from the center of the moving magnet and the fixed magnet to the center of the rotating shaft, and R G is the distance from the center of mass of the excitation disk to the center of the rotating shaft.
CN2013203136127U 2013-05-31 2013-05-31 Wheel-type piezoelectric beam generator based on clamping limit Expired - Lifetime CN203313093U (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103248269A (en) * 2013-05-31 2013-08-14 浙江师范大学 Wheel-type piezoelectric beam generator based on clamping limit
CN106787944A (en) * 2017-02-27 2017-05-31 河海大学 A kind of piezoelectric transducer

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103248269A (en) * 2013-05-31 2013-08-14 浙江师范大学 Wheel-type piezoelectric beam generator based on clamping limit
CN103248269B (en) * 2013-05-31 2015-04-29 浙江师范大学 Wheel-type piezoelectric beam generator based on clamping limit
CN106787944A (en) * 2017-02-27 2017-05-31 河海大学 A kind of piezoelectric transducer
CN106787944B (en) * 2017-02-27 2018-08-28 河海大学 A kind of piezoelectric transducer

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