光致弯曲驱动曲梁的挠曲线方程求解  

Solve the deflection curve equation of curved light-induced bending beam

作　　者：杨卫祥[1] 朱玉田[1] 符星球[1] 陈茂林[1] 邢星[1] 

机构地区：[1]同济大学机械工程学院,上海201804

出　　处：《现代制造工程》2010年第4期115-118,共4页Modern Manufacturing Engineering

基　　金：国家863高技术研究发展计划资助项目(2007AA03Z105);上海市自然科学基金资助项目(09ZR1434200)

摘　　要：针对新型光致形变聚合物的特点,根据光致弯曲驱动曲梁的平面弯曲模型,引入光致应变、光致轴力和光致弯矩的概念,建立了光致弯曲驱动曲梁平面弯曲变形的挠曲线方程。在半圆形曲梁一端固定,另一端分别为轴向约束、径向约束、轴向加径向约束的三种情况下,求解出光致弯曲驱动曲梁在光照后的驱动力及其变形。数值算例求出了一端固定一端轴向和径向约束的半圆梁在紫外线光照前后的变形量和驱动力大小,结果表明,该聚合物可望用作微机械系统的执行部件,为光致形变驱动提供了理论支持。According to the characteristics of the light-induced deformation polymer, based on the plain bending model of light-induced curved beam, light-induced strain, light-induced force and light-induced torque are introduced. On condition of one end of the curved beam fixed, the other end constrained in axial direction, radial direction and both directions separately, the expressions of deflection and force induced by the light are derived. A numerical example solves the deflection and the force of the semi-circular beam induced before and after Uhravionlet（UV）, with one end fixed while the other end in axial and radial direction constrained. Result shows that the polymer is hopeful to be used as executive component in micro-mechanical system. Basic theory for light-induced deformation can be supported by the model.

关 键 词：光致弯曲驱动曲梁 光致应变 光致轴力 光致弯矩 挠曲线方程 

分 类 号：O341[理学—固体力学]