摘要
对一类特殊的非线性薄板梁结构受振荡流作用下的振动情况进行了计算和分析。建立了薄板的非线性运动偏微分方程 ,采用Glerkin法对变量进行了分离 ,运用多尺度法对常微分方程进行了求解 ;发现了一些新的现象 。
The vibration of a special kind of nonlinear thin plate shape beam with pulsating fluid is calculated and analyzed in this paper. The partial differential equations were set up and its variables were separated by Glerkin method, then the ordinary differential equations were solved by Multi scale method. Some new phenomena were found, all conclusions are helpful to the engineering.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2002年第B11期30-34,共5页
Journal of Southwest Jiaotong University
基金
国家自然科学基金 (19872 0 5 8)
教育部<高等学校骨干教师资助计划>资助项目
关键词
非线性板状梁
非线性偏微分方程
振荡流
参数共振
多尺度法
结构振动
non linear equation
partial differential equations
pulsating fluid
plate shape beam
parametric resonace
multi scale method
