Mesh optimization based on a process of geometrical nonlinear analysis

4th International Conference on Civil and Environmental Engineering for Sustainability

地球科学;生态环境科学;经济学

Kawakami, T.^1 ; Obiya, H.^1 ; Soe, C.K.^1 ; Nizam Z, M.^2 ; Ijima, K.^1

Graduate School of Science and Engineering, Saga University 1 Honjo Saga, 840-8502, Japan^1

Structures and Material Engineering Department, Faculty of Civil and Environmental Engineering, Universiti Tun Hussein Onn Malaysia, Parit Raja, Batu Pahat, Johor, West Malaysia

86400, Malaysia^2

关键词: Equilateral triangles;    Equilibrium solutions;    Geometrical nonlinear analysis;    Geometrical stiffness;    Objective functions;    Potential function;    Tangent stiffness method;    Total potential energy;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/140/1/012131/pdf
DOI  :  10.1088/1755-1315/140/1/012131

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

The tangent stiffness method produces the strict equilibrium solutions using the geometrical stiffness and element force equations. The method based on the principle of stationary total potential energy can be applied to mesh optimization problems by using the potential functions of element measurement as objective functions. In this study, three different types of functions are examined with numerical examples. One is proportionate to the total area of curved surface consist of triangle elements, and it gives minimal and isotonic surfaces. Another is expressed as power functions of length of 1D elements, and it makes the total length between nodes minimalize. The last one is to minimalize the square of difference between the side lengths of triangle elements, and it may arrange the shapes of the elements equilateral triangles.