Thermally Induced Flexural Vibration Problem of Inhomogeneous Rectangular Plates ―When Temperature Change at the Bottom Surface is kept at Zero―

2021 ◽  
Author(s):  
Masahide Ohno ◽  
Ryuusuke Kawamura
Keyword(s):  
Temperature Change ◽  
Flexural Vibration ◽  
Bottom Surface ◽  
Rectangular Plates ◽  
Thermally Induced ◽  
Vibration Problem

Research on Thermally Induced Deformation of Reinforcing Plate Based on Finite Element Simulation

2012 ◽  
Vol 197 ◽  
pp. 139-143
Author(s):  
Hua Bai ◽  
Yi Du Zhang
Keyword(s):  
Finite Element ◽  
Ambient Temperature ◽  
Finite Element Simulation ◽  
Temperature Change ◽  
Large Scale ◽  
Machining Process ◽  
Reinforcement Structure ◽  
Thermally Induced ◽  
Finite Element Software ◽  
Element Simulation

The change of ambient temperature will cause deformation during the machining process of large-scale aerospace monolithic component. Based on finite element simulation, thermally induced deformation of reinforcing plate is studied in such aspects as reinforcement structure, clamping method and temperature change, and contact function in finite element software is used to simulate the unilateral constraint between workpiece and worktable. The results indicate that reinforcing plate will produce warping deformation due to the change of ambient temperature. Different reinforcement structures and clamping methods have important influence on the deformation positions and degrees, and the deformation is proportional to the temperature change.

The flexural vibration of welded rectangular plates

1981 ◽  
Vol 75 (2) ◽  
pp. 163-178 ◽  
Author(s):  
M.M. Kaldas ◽  
S.M. Dickinson
Keyword(s):  
Flexural Vibration ◽  
Rectangular Plates

Mathematical analysis of flexural vibrations of inhomogeneous rectangular plates and beams subjected to cyclic loadings of temperature change and external force

2010 ◽  
Vol 214 (1-2) ◽  
pp. 133-144
Author(s):  
Ryuusuke Kawamura ◽  
Hiroshi Fujita ◽  
Yoshihiro Ootao ◽  
Yoshinobu Tanigawa ◽  
Kiyohiko Ikeda ◽  
...  
Keyword(s):  
Temperature Change ◽  
External Force ◽  
Mathematical Analysis ◽  
Rectangular Plates ◽  
Flexural Vibrations

Dynamic analysis of rectangular plates crossed by distributed moving loads

2017 ◽  
Vol 23 (9) ◽  
pp. 1291-1302 ◽  
Author(s):  
S Sorrentino ◽  
G Catania
Keyword(s):  
Coupling Effect ◽  
Ritz Method ◽  
Flexural Vibration ◽  
Analytical Form ◽  
Relative Magnitude ◽  
Transverse Displacement ◽  
Rectangular Plates ◽  
Moving Loads ◽  
Railway Bridges ◽  
Parallel Direction

This study investigates the dynamic behaviour of plates crossed by distributed moving gravitational and inertial loads, in the case in which the relative magnitude of the moving mass introduces a coupling effect with the structure, with possible applications to the vibration analysis of railway bridges. A rectangular Kirchhoff plate is considered, simply supported on two opposite edges and free on the other two edges, loaded by a partially distributed mass travelling in the parallel direction with respect to the free edges. The formulation includes damping, and it is accomplished by the Rayleigh–Ritz method, expressing the solution in semi-analytical form. The shape functions for describing the transverse displacement field of the plate are selected as tensor products of linearly independent eigenfunctions of homogeneous uniform beams in flexural vibration, yielding a low-order model with time-dependent coefficients. Numerical examples are then presented and discussed, aimed at investigating the effects of each of the model governing parameters.

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