摘要
在生物和医学领域,微机电系统(MEMS)中的微梁结构在植入人体的使用时,由于体内的细胞环境类似于水凝胶,在这种环境下工作,设备和仪器的精度和稳定性很大程度上受到细胞弹性的影响.为了分析此类地基梁的动力学问题,本文建立了非线性基础上的梁振动模型,研究了任意位置弹簧和非线性弹簧基础上的梁模态.通过Laplace变换和线性叠加原理,得到了一种约束Green函数,利用数值计算验证方案的有效性,并研究了各种重要物理参数的影响,发现弹簧位置向跨中移动时,模态对称性被打破,弹簧刚度增加,模态阶数改变.
In the field of biology and medicine,for example,in the use of micro-electromechanical systems(MEMS)with microbeam structure in human implantation,the accuracy and stability of the equipment and instruments are greatly affected by the elastic foundation because the cellular environment in the body is similar to that of hydrogels.In order to analyze this problem,a beam dynamics model based on nonlinear beam is established in this paper,and the free vibration of a beam with a spring at any position and based on nonlinear spring is studied.By using of Laplace transform and linear superposition principle,a kind of constrained Green’s function is obtained.Numerical calculation is carried out to verify the proposed solution,and the influence of various important physical parameters is studied.It is found that when the position of the spring moves towards the midspan,the modal symmetric is broken.The spring stiffness increases as the modal order changes.
作者
赵翔
王琦
朱伟东
李映辉
Zhao Xiang;Wang Qi;Zhu Weidong;Li Yinghui(School of Civil Engineering and Architecture,Southwest Petroleum University,Chengdu 610500,China;Department of Mechanical Engineering,University of Maryland,Baltimore County MD21250;School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610000,China)
出处
《动力学与控制学报》
2024年第2期77-84,共8页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(12072301)
四川省自然科学基金(2022NSFSC0275)。
