Constrained Green Function and Nonlinear Foundation Beam Modal Analysis
In the field of biology and medicine, for example, in the use of micro-electromechanical sys-tems (MEMS) with microbeam structure in human implantation, the accuracy and stability of the equip-ment 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 posi-tion 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 veri-fy 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.
constrain Green's functionLaplace transformnonlinear spring foundationmodal analysissuperposition principle
NETL
NSTL
万方数据
