基于预应力和局部加强结构的特定性能双稳态结构设计
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摘要
双稳态结构的构型和驱动位置设计是改善其跳转特性的关键技术。提出通过协同调控预压缩量、局部加强结构参数和驱动位置设计具有特定跳转性能的预压双稳态结构。首先,给出了局部加强预压双稳态结构的成型过程,并在理论分析的基础上得到特定性能预压双稳态结构的设计方程。然后,基于有限元方法验证了设计方程中设计参数(预压缩量,驱动位置,局部加强结构尺寸、位置)对双稳态结构跳转特性(偏置跳转力、拱高)的影响,并绘制了双稳态结构跳转特性的等值线图。最后,根据跳转特性等值线图设计并制备了拱高为3.57 mm,偏置跳转力为1.20 N的预压双稳态结构。实验结果表明:预压双稳态结构的拱高和偏置跳转力的设计值和实验值的误差分别为1.68%和11.67%,验证了预压双稳态结构设计结果的有效性。
Designing configurations and actuation positions of bistable structures is a key to improve its snap-through properties.Pre-compressed bistable structures with specific snap-through properties are designed by integrated regulating the pre-compression,parameters of local reinforcements and the actuation position. Firstly, the forming process of a pre-compressed bistable beam with local reinforcements is introduced and the design equation of pre-compressed bistable structures with special properties is presented on the basis of theoretical analysis. Then, based on the finite element method, the effects of design parameters(the pre-compression, actuation position, sizes and position of local reinforcements) in the design equation on snap-through properties(the offset snapping force and the arch height) are verified, and the contour map of snap-through properties is drawn. Finally, a pre-compressed bistable beam with expected arch height 3.57 mm and the offset snapping force 1.20 N is designed and fabricated according to the contour map of snapping-through properties The experimental results show that the simulated arch height and offset snapping force of the tested pre-compressed bistable structure are only 1.68% and 11.67% deviated from the experimental results, verifying the accuracy of design results.
Designing configurations and actuation positions of bistable structures is a key to improve its snap-through properties.Pre-compressed bistable structures with specific snap-through properties are designed by integrated regulating the pre-compression,parameters of local reinforcements and the actuation position. Firstly, the forming process of a pre-compressed bistable beam with local reinforcements is introduced and the design equation of pre-compressed bistable structures with special properties is presented on the basis of theoretical analysis. Then, based on the finite element method, the effects of design parameters(the pre-compression, actuation position, sizes and position of local reinforcements) in the design equation on snap-through properties(the offset snapping force and the arch height) are verified, and the contour map of snap-through properties is drawn. Finally, a pre-compressed bistable beam with expected arch height 3.57 mm and the offset snapping force 1.20 N is designed and fabricated according to the contour map of snapping-through properties The experimental results show that the simulated arch height and offset snapping force of the tested pre-compressed bistable structure are only 1.68% and 11.67% deviated from the experimental results, verifying the accuracy of design results.
引文
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[2]WEI Chongfeng,JING Xingjian.A comprehensive review on vibration energy harvesting:Modelling and realization[J].Renewable and Sustainable Energy Reviews,2017,74:1-18.
[3]KIM H,JANG Y H,KIM Y K,et al.MEMS acceleration switch with bi-directionally tunable threshold[J].Sensors and Actuators A:Physical,2014,208:120-129.
[4]ZHANG Qihuan,YANG Zhuoqing,XU Qiu,et al.Design and fabrication of a laterally-driven inertial micro-switch with multi-directional constraint structures for lowering off-axis sensitivity[J].Journal of Micromechanics and Microengineering,2016,26(5):055008.
[5]GERSON Y,KRYLOV S,ILIC B,et al.Design considerations of a large-displacement multistable micro actuator with serially connected bistable elements[J].Finite Elements in Analysis and Design,2012,49(1):8-69.
[6]LIU Xingxing,LAMARQUE F,DORE E,et al.Design and simulation of a multistable nano-actuator[C]//Mecatronics(MECATRONICS),2014 10th FranceJapan/8th Europe-Asia Congress on.IEEE,2014:313-318.
[7]YANG Bocong,WANG Boxiong,SCHOMBURG W K.A thermopneumatically actuated bistable microvalve[J].Journal of Micromechanics and Microengineering,2010,20(9):095024.
[8]SUZUKI M,ASHIZAWA H,FUJITA Y,et al.A bistable comb-drive electrostatic actuator biased by the built-in potential of potassium ion electret[J].Journal of Microelectromechanical Systems,2016,25(4):652-661.
[9]SONG E,KIM K H,LEE Y P.Simulation and experiments for a phase-change actuator with bistable membrane[J].Sensors and Actuators A:Physical,2007,136(2):665-672.
[10]QIU Jin,LANG J H,SLOCUM A H.A centrally-clamped parallel-beam bistable MEMS mechanism[C]//Micro Electro Mechanical Systems,2001.The 14th IEEEInternational Conference on.IEEE,2001:353-356.
[11]QIU Jin,LANG J H,SLOCUM A H.A curved-beam bistable mechanism[J].Journal of Microelectromechanical Systems,2004,13(2):137-146.
[12]HUSSEIN H,LE M P,BOURBON G,et al.Modeling and stress analysis of a pre-shaped curved beam:Influence of high modes of buckling[J].International Journal of Applied Mechanics,2015,7(4):1550055.
[13]赵剑,魏岩,高仁璟,等.基于局部截面构型优化的双稳态结构跳跃阈值控制与设计[J].机械工程学报,2016,52(19):154-161.ZHAO Jian,WEI Yan,GAO Renjing,et al.Control of the snap-through characteristic through local cross-section optimization[J].Journal of Mechanical Engineering,2016,52(19):154-161.
[14]SALINAS G.Can a curved beam bistable mechanism have a secondary equilibrium that is more stable than its stress-free configuration?[J].Microsystem Technologies,2015,21(4):943-950.
[15]PALATHINGAL S,ANANTHASURESH G K.Design of bistable pinned-pinned arches with torsion springs by determining critical points[C]//Mechanism and Machine Science:Proceedings of ASIAN MMS 2016&CCMMS2016.Springer Singapore,2017:677-688.
[16]SAIF M T A,MACDONALD N C.A millinewton microloading device[J].Sensors and Actuators A:Physical,1996,52(1):65-75.
[17]FANG W,WICKERT J A.Post buckling of micromachined beams[J].Journal of Micromechanics and Microengineering,1994,4(3):116.
[18]SAMUEL B A,DESAI A V,HAQUE M A.Design and modeling of a MEMS pico-Newton loading/sensing device[J].Sensors and Actuators A:Physical,2006,127(1):155-162.
[19]VANGBO M.An analytical analysis of a compressed bistable buckled beam[J].Sensors and Actuators A:Physical,1998,69(3):212-216.
[20]赵剑,贾建援,王洪喜,等.双稳态屈曲梁的非线性跳跃特性研究[J].西安电子科技大学学报,2007,34(3):458-462.ZHAO Jian,JIA Jianyuan,WANG Hongxi,et al.Nonlinear snap-through characteristic of a compressed bi-stable buckled beam[J].Journal of Xidian University,2007,34(3):458-462.
[21]ANDòB,BAGLIO S,BULSARA A R,et al.A bistable buckled beam based approach for vibrational energy harvesting[J].Sensors and Actuators A:Physical,2014,211:153-161.
[22]CAZOTTES P,FERNANDES A,POUGET J,et al.Bistable buckled beam:Modeling of actuating force and experimental validations[J].Journal of Mechanical Design,2009,131(10):101001.