Abstract

The present work is the first part of a study of nonlinear dynamics of parametrically excited transverse oscillations of a clamped-clamped microbeam (the basic sensory element of a promising class of microsensors of various physical quantities) under exposure to laser-induced opto-thermal effects in the form of periodically generated pulses affecting a certain part of the beam-element surface. An analytical solution of the heat-transfer problem for steady harmonic temperature distribution in the resonator volume is found. The static and dynamic components of the temperature-induced axial force and transverse moment are determined. Discretization of the nonlinear coupled partial differential equations describing the longitudinal-transverse vibrations of the resonator is performed using the Galerkin method. Using the asymptotic method of multiple scales, an approximate analytical solution for the nonlinear dynamics problem under the conditions of primary parametric resonance is obtained.

中文翻译：

---

关于微束谐振器的光热激发参量振荡。我

摘要

目前的工作是研究在激光诱导光热效应下夹紧微束（一类有前途的各种物理量微传感器的基本感觉元件）的参数激发横向振荡的非线性动力学研究的第一部分以周期性产生的脉冲形式影响光束元件表面的特定部分。找到了谐振腔内稳态谐波温度分布的传热问题的解析解。确定了温度引起的轴向力和横向力矩的静态和动态分量。使用 Galerkin 方法对描述谐振器纵向-横向振动的非线性耦合偏微分方程进行离散化。