梁结构振动支承约束反力控制  

Optimal Design of Beam Structure Supports for Controlling Constraint Reaction Forces during Vibration

作　　者：田瑞 王栋[2] TIAN Rui;WANG Dong(Aviation Industry Aircraft Strength Research Institute,Xi’an 710065,China;School of Aerospace Engineering,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]中国飞机强度研究所,西安710065 [2]西北工业大学航空学院,西安710072

出　　处：《噪声与振动控制》2021年第2期50-55,共6页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(51975470);陕西省自然科学基础研究基金资助项目(2020JM-114)。

摘　　要：支承或连接构件对梁结构的动力学性能有至关重要影响,必须保证其在振动过程中不发生破坏或者失效。通过合理设计和布局附加弹性支承可以实现对这些重要连接构件所承受约束反力的控制。应用微分变换法推导含附加支承的梁结构支承约束反力及其对于附加支承位置和刚度的灵敏度表达式,并通过优化设计附加支承位置和刚度实现具有弹性约束端的简支梁结构各支承约束反力的平衡,可提高结构的动力学性能。Supports and connecting members have a great influence on the dynamic performance of beam structures.Reasonable design and layout of the additional elastic supports can control the restraint reaction forces of these important connecting members.In this paper,the differential transformation method is used to derive the expression of the restraint reaction forces of supports of the beam with additional supports and the sensitivity of the reaction forces to the position and stiffness of the additional supports.Through the rational design of the position and stiffness of the additional supports,the balance of the reaction forces of the supports is realized,and the dynamic performance of the structure is improved.

关 键 词：振动与波 支承 约束反力 位置和刚度 微分变换法 优化设计 

分 类 号：O321[理学—一般力学与力学基础] O327[理学—力学]