贴敷约束阻尼层的螺栓连接板半解析动力学建模及减振分析

Semi-analytical dynamic modeling and vibration reduction analysis of bolted connection plates with constrained layer damping attached

在太空环境中太阳翼帆板的振动难以抑制,因此太阳翼帆板的减振研究至关重要。利用双搭接螺栓连接板结构模拟太阳翼帆板的展开状态,研究了通过贴敷约束阻尼层对其进行振动抑制的方法。创建了贴敷“H型”约束阻尼层双搭接螺栓连接板结构的半解析动力学模型,包含:利用层间剪切变形原理,推导了约束阻尼层结构的应力应变关系,用复模量表征黏弹性层的阻尼特性;考虑螺栓的影响区域,提出用复面弹簧单元和修正质量模拟双搭接螺栓结合部的刚度、阻尼和质量特性;引入正交多项式作为位移容许函数,利用拉格朗日方程和Hamilton原理建立了局部贴敷“H型”约束阻尼层的螺栓连接薄板的动力学方程。进行了实例研究,通过组建的试验系统证明了所创建的复合结构半解析模型在求解固有特性及振动响应参数方面的合理性,同时试验及半解析模型计算结果均证明约束阻尼层对双搭接螺栓连接板具有减振效果。最后,基于所创建的半解析模型分析了贴敷面积及约束阻尼层厚度对双搭接螺栓连接板减振效果的影响。

Vibration of solar wing panels is difficult to suppress in space environment,so it is crucial to study vibration reduction of solar wing panels.Here,a double-lap bolted connection plate structure was used to simulate unfolding state of solar wing panel,and study its vibration suppression method by attaching constrained layer damping(CLD)on it.A semi-analytical dynamic model for double-lap bolted connected plate structure with"H-type"CLD was created.Firstly,using the principle of interlayer shear deformation,the stress-strain relation of CLD structure was derived,and damping characteristics of viscoelastic layer were characterized by complex modulus.Secondly,considering influence area of bolts,using composite spring element and modified mass to simulate stiffness,damping and mass characteristics of double-lap bolt joint was proposed.Thirdly,orthogonal polynomials were introduced as displacement admissible functions,and dynamic equations of a bolted thin plate structure with locally attached"H-type"CLD were established using Lagrange equation and Hamilton principle.A case study was performed to demonstrate the rationality of the semi-analytical model of composite structure in solving natural characteristics and vibration response parameters using the built test system.Both test results and semi-analytical model calculation results showed that CLD has the vibration reduction effect on double-lap bolted connection plates.Finally,based on the created semi-analytical model,effects of attaching area and thickness of CLD on vibration reduction effect of double-lap bolted connection plates were analyzed.