作　　者： ; ; ; ;

机构地区： 大连交通大学机械工程学院

出　　处： 《大连铁道学院学报》 2006年第4期10-13,21,共5页

摘　　要： 结构-声场耦合振动在工业领域广泛存在,其理论分析和数值方法对车辆、船舶等内部降噪设计有重要意义.基于结构-声场耦合振动的有限元方程,推导了其左特征向量和右特征向量的关系,基于此证明了虽然无阻尼结构-声场耦合系统由于系数矩阵非对称属复模态问题,但其特征值为实数.用复Lanczos法计算了圆柱壳与内部声场耦合振动、六面体与内部声场耦合振动的耦合特征值,结果表明其耦合特征值确为实数. The coupled vibration of structure-acoustic system is a general problem in engineering, its theory and numerical value method is very important to the interior noise reduction for vehicle and ship. The relationship of left eigenvector and right eigenvector is deduced based on the finite element model of coupled structure-acoustic system and prove that the eigenvalue of this system is real number although the coupled matrix is non-symmetry. The eigenvalue of cylinder shell coupled with interior acoustic field and hexahedron coupled with interior acoustic field are performed by used of complex Lanczos method as examples. The results show that the eigenvalue is really real number. This research clarify further the feature of eigenvalue and will advance its application in engineering for coupled structure -acoustic system.

关 键 词： 有限元 特征值 特征向量 结构 声场耦合

领　　域： [理学] [理学] [理学] [理学]