Application of LADM in the Analysis of Nonlinear Heat Transfer and Structural Problem

摘要

The LADM in the nonlinear heat transfer and beam structure can be widely used in engineering The purpose of this thesis is to propose the Laplace Adomian Decomposition Method (LADM) for studying the nonlinear temperature and thermal stress analysis of annular fins with time dependent boundary condition The nonlinear behavior of temperature and thermal stress distribution in an annular fin with rectangular profile subjected to time dependent periodic temperature variations at the root is studied by the LADM The radiation effect is considered The convective heat transfer coefficient is considered as a temperature function The proposed solution method is helpful in overcoming the computational bottleneck commonly encountered in industry and in academia The results show that the circumferential stress at the root of the fin will be important in the fatigue analysis This study presents an effective solution method to analyze the nonlinear behavior of temperature and thermal stress distribution in an annular fin with rectangular profile subjected to time dependent periodic temperature variations at the root by using LADM However the analytic static deflection solutions of beams resting on nonlinear elastic foundations are developed by the modified Adomian method If the applied force function is an analytic function then the deflection function can be derived and expressed in Maclaurin series A recurrence relation for the coefficients of the Maclaurin series is derived It is shown that the proposed solution method is accurate and efficient The solution method can be successfully applied to the problem with strong nonlinearity The results are also compared with those obtained by the perturbation method It is found that the error of the perturbation solution will increase not only when the nonlinear parameter is increased but also when the applied load is increased

獎項日期	2018 4月 19
原文	English
監督員	Sen-Yung Lee (Supervisor)