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On Thermo-Optically Excited Parametric Oscillations of Microbeam Resonators. II
Vestnik St. Petersburg University, Mathematics Pub Date : 2024-01-24 , DOI: 10.1134/s1063454123040106
N. F. Morozov , D. A. Indeitsev , A. V. Lukin , I. A. Popov , L. V. Shtukin

Abstract

The present article is the second part of our study of the nonlinear dynamics of parametrically excited bending vibrations of a microbeam fixed at both ends, a basic sensitive element of a promising class of microsensors of various physical quantities, under laser thermo-optical action in the form of periodically generated pulses acting on a certain part of the surface of the beam element. The conceptual technical feasibility of laser generation of parametric oscillations of high-Q microresonators without implementation of scenarios with the loss of elastic stability of the sensitive element or unacceptable heating is shown. The nature of the zone of the primary parametric resonance is analyzed analytically. The resonant characteristics of the system are constructed in a geometrically non-linear formulation corresponding to the Bernoulli–Euler beam model.



中文翻译:

关于微束谐振器的热光激发参量振荡。二

摘要

本文是我们研究两端固定的微梁参数激励弯曲振动非线性动力学的第二部分,微梁是一类有前途的各种物理量微传感器的基本敏感元件,在激光热光作用下作用于梁元件表面的特定部分的周期性产生的脉冲的形式。显示了激光产生高 Q 值微谐振器参量振荡的概念技术可行性,无需实施敏感元件弹性稳定性损失或不可接受的加热的场景。对初级参数共振区域的性质进行了分析分析。系统的谐振特性采用与伯努利-欧拉梁模型相对应的几何非线性公式构建。

更新日期:2024-01-25
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