含复杂结构应力的平板振动解析方法研究
发布时间：2019-08-16 10:01
【摘要】：工程结构物中常常含有分布形式复杂的非均匀结构应力,该应力会影响结构的振动特性。有限元法虽然可以求解,但不利于从本质上分析结构应力与振动的内在物理联系、不方便研究结构应力对振动的影响规律,而且还有施加特定非均布应力操作复杂、计算量较大等限制。在解析方法研究方面,以往的方法主要用来求解含整体均匀分布应力的结构,不适用于实际工程结构中的非均布应力的情况。提出了一种求解含非均布应力结构振动的解析方法,以平板结构为对象,用特殊级数形式表示非均布的结构应力,将应力影响加到原平板振动方程,并实现结构模态的部分解耦,然后对解耦后的方程进行求解得到解析解。推导出的解析方法适用于任意应力状态下的平板振动求解,并且相对于有限元法有计算量小、物理解释明晰等优点,方便定性地研究结构应力与振动之间的物理联系,进行考虑结构应力的振动精确预报与控制。
[Abstract]:Engineering structures often contain inhomogeneous structural stresses with complex distribution forms, which will affect the vibration characteristics of structures. Although the finite element method can be solved, it is not conducive to the analysis of the internal physical relationship between structural stress and vibration in essence, and it is not convenient to study the influence of structural stress on vibration, and there are some limitations, such as the operation of specific heterogeneous stress is complex and the amount of calculation is large. In the aspect of analytical method, the previous methods are mainly used to solve the structure with uniform stress distribution as a whole, and are not suitable for the case of uneven stress in practical engineering structures. In this paper, an analytical method for solving the vibration of structures with non-uniform stress is proposed. Taking the plate structure as the object, the non-uniform structural stress is expressed in the form of special series, the stress influence is added to the original plate vibration equation, and the partial decoupling of the structural mode is realized, and then the analytical solution is obtained by solving the decoupling equation. The derived analytical method is suitable for solving plate vibration under arbitrary stress state. compared with the finite element method, it has the advantages of less computation and clear physical interpretation. It is convenient to qualitatively study the physical relationship between structural stress and vibration, and to accurately predict and control the vibration considering structural stress.
【作者单位】： 上海交通大学船建学院海洋工程重点实验室;中船重工第七0二研究所上海分部;
【基金】：海洋工程国家重点实验室基金资助(1507)
【分类号】：TB123
[Abstract]:Engineering structures often contain inhomogeneous structural stresses with complex distribution forms, which will affect the vibration characteristics of structures. Although the finite element method can be solved, it is not conducive to the analysis of the internal physical relationship between structural stress and vibration in essence, and it is not convenient to study the influence of structural stress on vibration, and there are some limitations, such as the operation of specific heterogeneous stress is complex and the amount of calculation is large. In the aspect of analytical method, the previous methods are mainly used to solve the structure with uniform stress distribution as a whole, and are not suitable for the case of uneven stress in practical engineering structures. In this paper, an analytical method for solving the vibration of structures with non-uniform stress is proposed. Taking the plate structure as the object, the non-uniform structural stress is expressed in the form of special series, the stress influence is added to the original plate vibration equation, and the partial decoupling of the structural mode is realized, and then the analytical solution is obtained by solving the decoupling equation. The derived analytical method is suitable for solving plate vibration under arbitrary stress state. compared with the finite element method, it has the advantages of less computation and clear physical interpretation. It is convenient to qualitatively study the physical relationship between structural stress and vibration, and to accurately predict and control the vibration considering structural stress.
【作者单位】： 上海交通大学船建学院海洋工程重点实验室;中船重工第七0二研究所上海分部;
【基金】：海洋工程国家重点实验室基金资助(1507)
【分类号】：TB123
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1 米大海;杨睿;周亮;刘s，
本文编号：2527370
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