Z型梁-质量块结构内共振频率的参数设计  

Parameter design of internally resonant frequency in Z-shaped beam with mass block structure

作　　者：王赛 郝淑英[1,2] 何赢男 张昆鹏[1,2] 张琪昌[3] WANG Sai;HAO Shuying;HE Yingnan;ZHANG Kunpeng;ZHANG Qichang(Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control,Tianjin University of Technology,Tianjin 300384,China;National Demonstration Center for Experimental Mechanical and Electrical Engineering Education,Tianjin University of Technology,Tianjin 300384,China;Tianjin Key Laboratory of Nonlinear Dynamics and Control,Tianjin University,Tianjin 300072,China)

机构地区：[1]天津理工大学天津市先进机电系统设计与控制重点实验室,天津300384 [2]天津理工大学机电工程国家级实验教学示范中心,天津300384 [3]天津大学天津市非线性动力学与控制重点实验室,天津300072

出　　处：《天津理工大学学报》2023年第1期48-52,共5页Journal of Tianjin University of Technology

基　　金：国家自然科学基金(12072234,11872044)。

摘　　要：内共振频率设计是将内共振应用于工程的前提,采用哈密顿原理推导了Z型梁-质量块结构的运动控制方程和边界条件,进而得到结构的固有频率。通过调节折叠角度和质量块质量进行结构的内共振频率设计,并给出不同频率比的参数范围。结果表明:随着折叠角度的增加,1阶固有频率逐渐增大,而2阶固有频率具有先减小后增大的趋势。在较大的折叠角度下,调节质量块的质量能够分别满足1:2,1:3,1:4的频率比条件。The design of internal resonance frequencies is the premise of applying internal resonances to engineering. In this paper, the governing equation of motion and boundary conditions of Z-shaped beam with mass structure are derived by using Hamilton principle, and then the natural frequency of the structure is obtained. The folding angle and mass block are adjusted to design the internal resonance frequency of the structure and the parameter ranges of different frequency ratios are obtained. The results show that with the increase of folding angles, the first-order natural frequency increases gradually, and the second-order natural frequency decreases firstly and then increases. The mass of the mass block is adjusted to meet the conditions of 1:2,1:3 and 1:4 frequency ratios at a large angle, respectively.

关 键 词：Z型梁 折叠角度 内共振 频率比 

分 类 号：O321[理学—一般力学与力学基础]