THE GENERAL VARIATIONAL PRINCIPLE OF THE CANTILEVER BEAM OF CIRCULAR CROSS SECTION INCLUDING TRANSVERSE SHEAR DEFORMATION

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (5): 1721-1726.

• Articles • 上一篇

THE GENERAL VARIATIONAL PRINCIPLE OF THE CANTILEVER BEAM OF CIRCULAR CROSS SECTION INCLUDING TRANSVERSE SHEAR DEFORMATION

李家仁, 张慎学

Jilin University

收稿日期:1982-03-14 出版日期:1984-09-18 发布日期:1984-09-18

THE GENERAL VARIATIONAL PRINCIPLE OF THE CANTILEVER BEAM OF CIRCULAR CROSS SECTION INCLUDING TRANSVERSE SHEAR DEFORMATION

LI Jia-ren, Zhang Shen-xue

Jilin University

Received:1982-03-14 Online:1984-09-18 Published:1984-09-18

摘要/Abstract

摘要： In this paper we derive the approximate theory on the straight cantilever beam of a same circular cross section including transverse shear deformation,using the general variational principle with two class variates,and we present the expression with two class variates containing two general displacement,of general complementary energy,corresponding with the theory.

关键词: fractal media, vertically fractured well, transient flow, power-law fluid

Abstract: In this paper we derive the approximate theory on the straight cantilever beam of a same circular cross section including transverse shear deformation,using the general variational principle with two class variates,and we present the expression with two class variates containing two general displacement,of general complementary energy,corresponding with the theory.

Key words: fractal media, vertically fractured well, transient flow, power-law fluid

李家仁;张慎学. THE GENERAL VARIATIONAL PRINCIPLE OF THE CANTILEVER BEAM OF CIRCULAR CROSS SECTION INCLUDING TRANSVERSE SHEAR DEFORMATION[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(5): 1721-1726.

LI Jia-ren;Zhang Shen-xue. THE GENERAL VARIATIONAL PRINCIPLE OF THE CANTILEVER BEAM OF CIRCULAR CROSS SECTION INCLUDING TRANSVERSE SHEAR DEFORMATION[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(5): 1721-1726.

[1]	M. KHAN, A. AHMED, J. AHMED. Transient flow of magnetized Maxwell nanofluid: Buongiorno model perspective of Cattaneo-Christov theory[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(4): 655-666.
[2]	Yaxin XU, Jing ZHU, Liancun ZHENG, Xinhui SI. Non-Newtonian biomagnetic fluid flow through a stenosed bifurcated artery with a slip boundary condition[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(11): 1611-1630.
[3]	Hailin YANG, Jianzhong LIN, Xiaoke KU. Mixture flow of particles and power-law fluid in round peristaltic tube[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 805-822.
[4]	Xinhui SI, Haozhe LI, Yanan SHEN, Liancun ZHENG. Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 333-342.
[5]	刘玉泉朱克勤. Study of shear-thinning/thickening effects on plane Couette-Poiseuille flow with uniform crossflow[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(5): 549-566.
[6]	陈学慧;郑连存;张欣欣. MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1555-1564.
[7]	F.A.SALAMA. Effect of thermal conductivity on heat transfer for a power-law non-Newtonian fluid over a continuous stretched surface with various injection parameters[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(8): 963-968.
[8]	T.HAYAT M.JAVED. Exact solution to peristaltic transport of power-law fluid in asymmetric channel with compliant walls[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(10): 1231-1240.
[9]	宋付权;刘慈群. THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 875-880.
[10]	黄文彬;徐泳;练国平;李红艳. SQUEEZE FLOW OF A POWER-LAW FLUID BETWEEN TWO RIGID SPHERES WITH WALL SLIP[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 811-818.
[11]	王晓冬;刘慈群. HORIZONTAL WELL PRESSURE ANALYSIS IN BOX-BOUNDED RESERVOIRS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(4): 315-320.
[12]	李帮达;刘永健;张景富. STUDIES ON THE LAW OF LAMINAR HELICAL FLOW OF POWER-LAW FLUID IN ECCENTRIC ANNULI[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(7): 627-634.

THE GENERAL VARIATIONAL PRINCIPLE OF THE CANTILEVER BEAM OF CIRCULAR CROSS SECTION INCLUDING TRANSVERSE SHEAR DEFORMATION

THE GENERAL VARIATIONAL PRINCIPLE OF THE CANTILEVER BEAM OF CIRCULAR CROSS SECTION INCLUDING TRANSVERSE SHEAR DEFORMATION

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

编辑推荐

Metrics

本文评价