Transactions of Nanjing University of Aeronautics & Astronautics
Modeling and Analysis of Vibration Characteristics of Complex Boundary Annular Plate Under Thermal Environment
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Abstract:
Annular plate structure is widely used in the engineering field. A unified method is proposed to predict the free vibration behavior of the annular plates in the steady-state thermal environment. Based on the spectral geometry method （SGM）， the displacement of the annular plate is expanded by the improved Fourier series. The potential energy and the maximum kinetic energy of the annular plate are obtained based on the first-order shear deformation theory （FSDT）. Three sets of linear springs and one set of rotating springs are used to simulate the arbitrary boundary of the annular plate. The continuity of the circumferential boundary of the annular plate with subtended angle of 360° is realized by using circumferential coupling spring. The Rayleigh-Ritz method is used to construct the theoretical model of the annular plate， and the vibration characteristics of the annular plate are solved. The accuracy of this method is verified by comparing with the finite element calculation results. The method used in this paper is a meshless method， which is more computationally efficient than current mainstream methods， such as the finite element method （FEM）. The relationships between the modal numerical solution and boundary condition and the ratio of inner and outer radius in the thermal environment are studied. This paper provides a reference for the application of annular plates in engineering practice.
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Project Supported:
This work was supported by the National Natural Science Foundation of China （No.51805341）， the Natural Science Foundation of Jiangsu Province （Nos. BK20220500， BK20180843）， the Jiangsu Funding Program for Excellent Postdoctoral Talent （No.20220ZB560）， and the Postgraduate Research & Practice Innovation Program of Jiangsu Province.
Clc Number:
TB31
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