摘要
提出基于固定界面子结构模态的结构随机响应精确综合方法。首先用固定界面子结构的中阶模态与精确剩余约束模态表达子结构频域位移;再利用界面力与位移的协调关系进一步消去界面自由度,建立双协调的精确缩聚变换;然后根据里兹法,得到结构精确综合的广义频响函数;并由此独立地计算各子结构的功率谱密度,进一步得到其均方值等响应统计;最后通过数值结果验证该方法的综合能力与准确性。
An exact synthesis method for structural random responses is proposed by using interface-fixed substructure modes.First of all,the substructural displacements in frequency domain are expressed by the mid-order normal modes and the exact residual constraint modes of the interface-fixed substructure,where the lower-and higher-order mode components are eliminated by the dynamic equations.Then the interfacial degrees of freedom are further eliminated using the continuity condition of displacements and forces in the interface,and an exact reduced transformation is derived.The exactly synthesized generalized frequency-response functions for structural vibration are obtained according to the Ritz procedure.The substructural power spectral density functions are expressed by the generalized frequency-response functions,and the substructural random response statistics such as mean-square responses are calculated.Finally,the synthesis capacity and accuracy of the proposed method are verified by numerical results of mean-square displacements and accelerations.
出处
《噪声与振动控制》
CSCD
北大核心
2010年第6期75-78,共4页
Noise and Vibration Control
基金
浙江省自然科学基金资助项目(Y607087)
教育厅科研项目(Y200907048)
关键词
振动与波
结构系统
随机响应
固定界面子结构
精确综合
vibration and wave
structural system
random response
interface-fixed substructure
exact synthesis
