Modeling Structural Dynamics Using FE-Meshfree QUAD4 Element with Radial-Polynomial Basis Functions

doi:10.3390/ma14092288

	Modeling Structural Dynamics Using FE-Meshfree QUAD4 Element with Radial-Polynomial Basis Functions
	Luo, Hongming; Sun, Guanhua
刊名	MATERIALS
	2021-05-01
卷号	14 期号:9 页码:28
关键词	FE-Meshfree finite element method FE-RPIM mesh distortion RPIM
DOI	10.3390/ma14092288
英文摘要	The PU (partition-of-unity) based FE-RPIM QUAD4 (4-node quadrilateral) element was proposed for statics problems. In this element, hybrid shape functions are constructed through multiplying QUAD4 shape function with radial point interpolation method (RPIM). In the present work, the FE-RPIM QUAD4 element is further applied for structural dynamics. Numerical examples regarding to free and forced vibration analyses are presented. The numerical results show that: (1) If CMM (consistent mass matrix) is employed, the FE-RPIM QUAD4 element has better performance than QUAD4 element under both regular and distorted meshes; (2) The DLMM (diagonally lumped mass matrix) can supersede the CMM in the context of the FE-RPIM QUAD4 element even for the scheme of implicit time integration.
资助项目	National Natural Sciences Foundation of China[42077270]
WOS研究方向	Chemistry ; Materials Science ; Metallurgy & Metallurgical Engineering ; Physics
语种	英语
出版者	MDPI
WOS记录号	WOS:000650603800001
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/27210]
专题	中科院武汉岩土力学所
通讯作者	Sun, Guanhua
作者单位	Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Luo, Hongming,Sun, Guanhua. Modeling Structural Dynamics Using FE-Meshfree QUAD4 Element with Radial-Polynomial Basis Functions[J]. MATERIALS,2021,14(9):28.
APA	Luo, Hongming,&Sun, Guanhua.(2021).Modeling Structural Dynamics Using FE-Meshfree QUAD4 Element with Radial-Polynomial Basis Functions.MATERIALS,14(9),28.
MLA	Luo, Hongming,et al."Modeling Structural Dynamics Using FE-Meshfree QUAD4 Element with Radial-Polynomial Basis Functions".MATERIALS 14.9(2021):28.