NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (3): 201-206.

• 论文 • 下一篇

NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE

叶碧泉, 周焕文

Wuhan University, Wuhan

收稿日期:1988-12-28 出版日期:1990-03-18 发布日期:1990-03-18
基金资助:
Project Supported by the National Science Foundation of China

NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE

Ye Bi-quan, Chou Huan-wen

Wuhan University, Wuhan

Received:1988-12-28 Online:1990-03-18 Published:1990-03-18
Supported by:
Project Supported by the National Science Foundation of China

摘要/Abstract

摘要： In this paper, we consider a bending laminated plate. At first, the dimensionless variables are used to transform the equilibrium equations of any layer to perturbation differential equations. Secondly, the composite expansion is used and the solution domain is divided into interior and boundary layer regions and the mathematical models for the outer solution and the inner solution are yielded respectively. Then, the inner solution is expressed with the boundary intergral equation.

关键词: finite element, vertical plate, skin friction, velocity, Nusselt number

Abstract: In this paper, we consider a bending laminated plate. At first, the dimensionless variables are used to transform the equilibrium equations of any layer to perturbation differential equations. Secondly, the composite expansion is used and the solution domain is divided into interior and boundary layer regions and the mathematical models for the outer solution and the inner solution are yielded respectively. Then, the inner solution is expressed with the boundary intergral equation.

Key words: finite element, vertical plate, skin friction, velocity, Nusselt number

叶碧泉;周焕文. NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(3): 201-206.

Ye Bi-quan;Chou Huan-wen. NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(3): 201-206.

[1]	M. RAHMAN, M. TURKYILMAZOGLU, Z. MUSHTAQ. Effects of multiple shapes for steady flow with transformer oil+Fe₃O₄+TiO₂ between two stretchable rotating disks[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(2): 373-388.
[2]	N. SHAHVEISI, S. FELI. Dynamic and electrical responses of a curved sandwich beam with glass reinforced laminate layers and a pliable core in the presence of a piezoelectric layer under low-velocity impact[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 155-178.
[3]	Pan WANG, Xiangcheng HAN, Weibin WEN, Baolin WANG, Jun LIANG. Galerkin-based quasi-smooth manifold element (QSME) method for anisotropic heat conduction problems in composites with complex geometry[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 137-154.
[4]	Shengyi TANG, Xubin PENG, Huadong YONG. Numerical simulation of the mechanical behavior of superconducting tape in conductor on round core cable using the cohesive zone model[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1511-1532.
[5]	Zhiping QIU, Zhao WANG, Bo ZHU. A symplectic finite element method based on Galerkin discretization for solving linear systems[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(8): 1305-1316.
[6]	Bo DOU, Hu DING, Xiaoye MAO, Sha WEI, Liqun CHEN. Dynamic modeling of fluid-conveying pipes restrained by a retaining clip[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(8): 1225-1240.
[7]	Siyong LIU, Yuanzhi XU, Richeng LIAO, Ge HE, Li DING, Bingbing AN, Dongsheng ZHANG. On fracture behavior of inner enamel: a numerical study[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 931-940.
[8]	A. V. ROŞCA, N. C. ROŞCA, I. POP. Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 641-652.
[9]	Feiyang HE, Zhiyu SHI, Denghui QIAN, Y. K. LU, Yujia XIANG, Xuelei FENG. Flexural wave bandgap properties of phononic crystal beams with interval parameters[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 173-188.
[10]	U. N. ARIBAS, M. AYDIN, M. ATALAY, M. H. OMURTAG. Cross-sectional warping and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2109-2138.
[11]	Chenxue JIA, Zihao WANG, Donghui ZHANG, Taihua ZHANG, Xianhong MENG. Fracture of films caused by uniaxial tensions: a numerical model[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2093-2108.
[12]	Xiaokang DU, Yuanzhao CHEN, Jing ZHANG, Xian GUO, Liang LI, Dingguo ZHANG. Nonlinear coupling modeling and dynamics analysis of rotating flexible beams with stretching deformation effect[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(1): 125-140.
[13]	Wenjie SUN, Wentao MA, Fei ZHANG, Wei HONG, Bo LI. Snap-through path in a bistable dielectric elastomer actuator[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(8): 1159-1170.
[14]	Si YUAN, Quan YUAN. Condensed Galerkin element of degree m for first-order initial-value problem with O(h^2m+2) super-convergent nodal solutions[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 603-614.
[15]	S. HUSSAIN, T. TAYEBI, T. ARMAGHANI, A. M. RASHAD, H. A. NABWEY. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 447-466.

NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE

NUMERICAL-PERTURBATION ANALYSIS OF EDGE EFFECT IN BENDING LAMINATED PLATE

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价