摘要
建立了在声源与结构载荷共同激励下 ,弹性薄壁腔体声振耦合的对称化有限元模型 ,并对模型特性进行了研究 .证明了即使在模型的质量、刚度矩阵均缺乏正定性的情况下 ,其特征值仍可保持非负性 ,并且在一定条件下仍可采用Rayleigh Ritz法对耦合系统特征问题进行降阶 .最后 ,以一矩形截面弹性薄壁腔体为对象给出了算例 ,并将计算结果与测量结果加以对比 ,二者十分接近 ,从而验证了所提对称化方法的可行性与正确性 .
A symmetrical finite element model is developed for analyzing the structure acoustic coupling of an elastic, thin walled cavity excited by interior sources and exterior structural loading. The nonnegativity condition of eigenvalues and the reduced order modeling condition of eigenvalue problem are also obtained. Although the mass and the stiffness matrices in the symmetrical model are not positive definite, the eigenvalues can still be nonnegative, while the order of the corresponding eigenvalue problem can still be reduced using the Rayleigh Ritz method under certain conditions. In order to validate the feasibility and correctness of the symmetrical model, an example for a rectangular section cavity is solved. The calculated results compare well with those obtained experimentally.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2000年第7期58-62,共5页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金资助项目!(5 9875 0 6 9)
关键词
腔体声振耦合
有限元法
对称化
弹性薄壁腔体
structure acoustic coupling of a cavity
finite element method
symmetry
