PDE Standardization Analysis and Solution of TypicalMechanics Problems  

作　　者：Ningjie Wang Yihao Wang Yongle Pei Luxian Li 

机构地区：[1]State Key Laboratory for Strength and Vibration of Mechanical Structures,Shaanxi Key Laboratory of Environment and Control for Flight Vehicle,School of Aerospace Engineering,Xi’an Jiaotong University,Xi’an,710049,China [2]Xi’an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences,Xi’an,710119,China

出　　处：《Computer Modeling in Engineering & Sciences》2024年第10期171-186,共16页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundations of China(Grant Nos.12372073 and U20B2013);the Natural Science Basic Research Program of Shaanxi(Program No.2023-JC-QN-0030).

摘　　要：A numerical approach is an effective means of solving boundary value problems(BVPs).This study focuses on physical problems with general partial differential equations(PDEs).It investigates the solution approach through the standard forms of the PDE module in COMSOL.Two typical mechanics problems are exemplified:The deflection of a thin plate,which can be addressed with the dedicated finite element module,and the stress of a pure bending beamthat cannot be tackled.The procedure for the two problems regarding the three standard forms required by the PDE module is detailed.The results were in good agreement with the literature,indicating that the PDE module provides a promising means to solve complex PDEs,especially for those a dedicated finite element module has yet to be developed.

关 键 词：Three standard forms expression input PDE module deflection solution stress solution 

分 类 号：O15[理学—数学]