非均布力激励Euler-Bernoulli梁振动响应的WPA分析  

Vibration response analysis of Euler-Bernoulli beam excited by the non-uniform distributed force with WPA method

作　　者：陈志刚[1] 吴崇健[1] 付爱华[1] 徐志云[1] 

机构地区：[1]中国舰船研究设计中心,湖北武汉430064

出　　处：《舰船工程研究》2005年第2期1-6,20,共7页

摘　　要：基于弯曲波叠加原理和极限积分思想，推导了非均匀分布力激励下均匀有限长梁振动响应的WPA法解析表达式，并运用WPA法计算了Euler-Bernoulli梁在梯形（三角形）和正弦两种典型非均匀分布力作用下的动态响应，得到其精确数值解，为浮筏隔振系统等的分析奠定了基础。Based on the superposition principle of flexural wave and the limit integral theory, a wave approach was developed for exact analysis of the harmonic response of uniform finite beams excited by non-uniform distributed forces. Using Wave Propagation Approach （WPA） method, the dynamic response of the Euler-Bernoulli beam excited by the trapeziform（triangle） and sinusoidal distributed forces were studied. The exact numerical solution obtained by WPA method and the correctness were proved by the finite element method （FEM）.

关 键 词：振动响应 EULER-BERNOULLI梁 WPA法 非均匀分布力 

分 类 号：U661.44[交通运输工程—船舶及航道工程]