摘要
同一结构在两种不同边界条件下的声振结果存在某种联系,这种联系可用来研究飞行器地面模拟试验环境与空中飞行环境下的状态关系。对此从一般的弹性体波动方程出发,基于载荷等效原则,应用变分原理和偏微分方程理论,对同一结构在不同边界条件下的内在联系进行了研究,证明了这种内在联系的存在性。研究结果表明:响应变化与边界扰动间存在的平方关系;响应变化幅度估计与精确解相比在一个数量级上。
There exists some relationship in the results of sound and vibration for the same structure under two different boundary conditions,which can be used to study the response relationships of the aircraft between the ground simulation test environment and the aircraft flight case.In this paper,based on the principle of load equivalence,by using variation principle and the theory of partial differential equations,take a general elastic wave equation for example,the relationship of the same structure under different boundary conditions is studied,and the existence is proved.Examples show that the relationships between response change and boundary disturbance is in 2nd order.Response change estimates and exact solutions are in the same order of magnitude.
出处
《应用力学学报》
CAS
CSCD
北大核心
2010年第4期716-720,共5页
Chinese Journal of Applied Mechanics
基金
973(61355)
国家自然科学基金(10971164)
