结构在静流场中振动时，附加质量的分布形式对其振动特性有非常大的影响，尤其是对较为轻薄的结构，但截至目前，对附加质量显式分布的研究甚少。基于三维问题的边界元法，在合适的Dirichlet及Neumann条件下，提出了一种较简单的方法，可求解结构以任意给定模式在不可压缩单相静流场中振动时的附加质量显式分布。数值计算表明，该方法的求解结果与理论解及实验结果吻合良好，可较好地应用于复杂形状结构在有界或无界静流场中振动时的附加质量分布计算。
Abstract
When a structure vibrates in a still fluid field, the distribution pattern of added masses can crucially affect its vibration character, especially for light and thin structures.Yet till now, few study has been done on the explicit distribution pattern of the added mass.Based on the three-dimensional boundary element method, a simple numerical method considering proper Dirichlet and Neumann conditions was proposed.The method can figure out the explicit distribution of the added mass for vibrating structures with arbitrary given mode in an incompressible single-phase still fluid field.Numerical examples show that the results of the method agree well with the theoretical solution and experimental values, so it can be well applied to the analysis of the added mass distribution for very complex structures vibrating in bounded or unbounded still fluid fields.
关键词
结构振动 /
静流场 /
附加质量 /
数值计算
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Key words
vibrating structure /
still fluid /
added mass /
numerical method
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