Approximate analytical solutions and experimental analysis for transient response of constrained damping cantilever beam  

作　　者：胡明勇 王安稳 章向明 

机构地区：[1]College of Science,Naval University of Engineering

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第11期1359-1370,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10572150);the Natural Science Foundation of Naval University of Engineering (No. HGDQNJJ008)

摘　　要：Vibration mode of the constrained damping cantilever is built up according to the mode superposition of the elastic cantilever beam. The control equation of the constrained damping cantilever beam is then derived using Lagrange＇s equation. Dynamic response of the constrained damping cantilever beam is obtained according to the principle of virtual work, when the concentrated force is suddenly unloaded. Frequencies and transient response of a series of constrained damping cantilever beams are calculated and tested. Influence of parameters of the damping layer on the response time is analyzed. Analyitcal and experimental approaches are used for verification. The results show that the method is reliable.Vibration mode of the constrained damping cantilever is built up according to the mode superposition of the elastic cantilever beam. The control equation of the constrained damping cantilever beam is then derived using Lagrange＇s equation. Dynamic response of the constrained damping cantilever beam is obtained according to the principle of virtual work, when the concentrated force is suddenly unloaded. Frequencies and transient response of a series of constrained damping cantilever beams are calculated and tested. Influence of parameters of the damping layer on the response time is analyzed. Analyitcal and experimental approaches are used for verification. The results show that the method is reliable.

关 键 词：constrained damping cantilever beam transient response Lagrange＇s equation mode superposition 

分 类 号：O326[理学—一般力学与力学基础]