Analysis On Deformation And Internal Forces Of The Elastic Thin Cylindrical Shell Under The Action Of Fluid

Summary of fluid-structure interaction in solid mechanics is the study of deformationunder the action of a variety of flow and solid deformation behavior of a flow fieldinfluence the emerging cross-disciplinary, has important theoretical significance and awide range of applications. Domestic and international research in this area focuse onnumerical analysis of the coupled system dynamics, and has a lot of research results. Incontrast, the analysis of fluid-structure interaction theory development is relatively slow,and the existing theoretical research is also relatively small. The article based on thecompatible Lagrangian-Euler theory Rectangular flexible liquid storage tank bottom andthe fluid inside the interaction, focuses on solving the elastic bottom of the deformationand stress.Through analysis of elastic solids flow field and fluid-structure interaction effects, freevibration differential equations of flexible rectangular liquid storage tank bottomfluid-structure interaction system, has made.The Bernoulli equation and the excitationconditions, the potential function are coupled to the free vibration equation, by usingGalerkin integral method, get a expression of a rectangular storage tank elastic platedeflection function,then get the analytical solution of the appropriate rectangle to simplifystorage tank in the fluid under the action of stress and deformation. Through specificexamples, get a rectangular storage tank bottom elastic deformation, internal forces andflow field distribution function of the value and discuss impact of the flexural rigidity ofthe elastic bottom, structure size, substrate material parameters and the fluid depth andother factors on the bottom stress and deformation. Draw the curve and to comparedifferent materials floor of deformation and stress. And then analyze a rectangular storagetank on the floor by the fluid motion of the elastic free vibration. Through motion controlthe system of differential equations and boundary conditions come to the free vibration ofelastic plate equation, and then get the free vibration frequency elastic plate, and furtheranalysis of the various parameter changes on the free vibration response of the system anddraw the curve. Use finite element software ANSYS FSI module to simulate the corresponding question. Finally, the numerical simulation results and were comparedwith theoretical solutions,and evidence the reliability of analytical solution.The researchcan be reference for rectangular liquid storage tank design.