Modeling and Analysis of Vibration Characteristics of Rectangular Plate with Circular Through Hole Under Complex Boundary Conditions
This paper presents a method to study the free vibration of a plate with circular holes.The circular hole is regarded as a virtual small plate in which the mass density and Young's modulus are zero.Therefore,the free vibration problem of the circular hole plate can be transformed into the free vibration problem of the equivalent rectangular plate with non-uniform thickness.The model is derived from the spectral geometry method(SGM),and the displacement of the plate with circular holes is expanded by the modified Fourier series.Virtual springs are added to the boundary of the plate to simulate the boundary conditions of simply supported and fixed supports.The accuracy of this method is verified by comparison with the finite element calculation results.The relationship between modal numerical solutions of plates with circular holes and boundary conditions and geometry of the plate is studied.
round hole platespectral geometry method(SGM)energy methodvirtual spring
唐天逸、何逸杰、吴佳俊、董梦龙、王刚、倪俊芳
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苏州大学机电工程学院,苏州 215131,中国
圆孔板 谱几何法 能量法 虚拟弹簧
National Natural Science Foundation of ChinaScience and Technology Major Project of Ningbo City
国家科技期刊平台
NSTL
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