约束阻尼悬臂梁瞬态响应近似解析解与实验分析  

Approximate Analytical Solutions and Experimental Analysis of Transient Response of Constrained Damping Cantilever Beam

作　　者：胡明勇[1] 王安稳[1] 章向明[1] 

机构地区：[1]海军工程大学理学院,武汉430033

出　　处：《应用数学和力学》2010年第11期1287-1296,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10572150);海军工程大学自然科学基金项目(HGDQNJJ008)的资助

摘　　要：利用弹性悬臂梁模态叠加构造出约束阻尼悬臂梁的振动模态,基于Lagrange方程推导出了约束阻尼悬臂梁的控制方程,求解了在集中力突然卸载的情况下约束阻尼悬臂梁的动力响应.计算并测试了一系列铝合金约束阻尼悬臂梁模型的振动频率和瞬态响应,分析了阻尼层材料参数对铝合金约束悬臂梁瞬态响应时间的影响.采用了解析法及实验法两种方法,结果表明,所采用的方法是可靠的.Vibration mode of constrained damping cantilever was built up according to elastic cantilever beam mode superposition.Then the control equation of constrained damping cantilever beam was derived by using Lagrange＇s equation.Dynamic response of the constrained damping cantilever beam was obtained according to the principle of virtual work,when the concentrated force was suddenly unloaded.Frequencies and transient response of a series of constrained damping cantilever beam were calculated and tested.The influence of parameters of the damping layer on the response time was analyzed.Resolution and experimental approach are considered.The results show that this method is reliable.

关 键 词：约束阻尼 悬臂梁 瞬态响应 LAGRANGE方程 模态叠加 

分 类 号：O327[理学—一般力学与力学基础]