Analytical solutions for material line and plane in triple slip, with inverse solutions for the slips from a finite deformation experiment on iron crystals

2011 ◽

Vol 199-200 ◽

pp. 1314-1319

Author(s):

Cai An Fu ◽

Jian Hao ◽

Wen Chen

Keyword(s):

Analytical Solutions ◽

Parallel Mechanism ◽

Inverse Solution ◽

Optimized Design ◽

Vector Method ◽

Inverse Solutions ◽

Specific Factors

This paper proposes a novel parallel mechanism named 3/3-RRRS, and gives a research of direct and inverse solutions to positions of this mechanism. The equations of direct and inverse solutions are proposed by using vector method , and the analytical solutions of the inverse solution are given .There are many factors which influence the workspace, The article analyzes the specific factors that influence the workspace by using the software ADAMS, the workspace will function as a target for agencies to optimize the parameters.

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Analytical Solutions for Inextensible Fiber-Reinforced Dielectric Elastomer Torsional Actuators

Journal of Applied Mechanics ◽

10.1115/1.4036193 ◽

2017 ◽

Vol 84 (5) ◽

Cited By ~ 4

Author(s):

Liwen He ◽

Jia Lou ◽

Jianke Du

Keyword(s):

Analytical Solutions ◽

Finite Deformation ◽

Principal Axis ◽

Radial Electric Field ◽

Deformation Analysis ◽

Concept Design ◽

Torsional Deformation ◽

Material Parameters ◽

Soft Actuators ◽

Inextensible Fibers

Two types of tubular dielectric elastomers (DE) torsional actuators are studied in this work, which are, respectively, reinforced by a family and two families of helical inextensible fibers. When subject to a radial electric field, torsional deformation will be induced in the DE actuators due to the constraint of inextensible fibers. By conducting finite deformation analysis with the principal axis approach and adopting appropriate constitutive equations, simple analytical solutions are obtained for the considered DE actuators. Furthermore, the effects of material parameters and the fiber angles as well as externally applied axial force and twist moment on the voltage-induced torsional behaviors of the two DE actuators are discussed in order to explore their maximum torsional actuation capability. The concept design presented here provides an effective approach for achieving large torsional deformation, and the developed model and revealed results will aid the design and fabrication of soft actuators and soft robots.

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On semi-inverse solutions for the time-dependent flows of a second-grade fluid

Mathematical Problems in Engineering ◽

10.1155/mpe/2006/54295 ◽

2006 ◽

Vol 2006 ◽

pp. 1-22 ◽

Cited By ~ 1

Author(s):

Muhammad R. Mohyuddin ◽

S. Asghar ◽

T. Hayat ◽

A. M. Siddiqui

Keyword(s):

Stream Function ◽

Analytical Solutions ◽

Time Dependent ◽

Polar Coordinates ◽

Second Grade ◽

Second Grade Fluid ◽

Inverse Solutions ◽

Grade Fluid

This paper deals with analytical solutions for the time-dependent equations arising in a second-grade fluid. The solutions have been developed by assuming certain forms of the stream function. Expressions for velocity components are obtained for flows in plane polar, axisymmetric cylindrical, and axisymmetric spherical polar coordinates. The obtained solutions are compared with existing results.

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Solutions for the Finite Deformation Elastic Rod Nonlinear Wave Equation

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.457-458.358 ◽

2013 ◽

Vol 457-458 ◽

pp. 358-361

Author(s):

Jing Shi ◽

Xin Li Yan ◽

Qing Tian Deng

Keyword(s):

Wave Equation ◽

Nonlinear Equations ◽

Nonlinear Wave ◽

Analytical Solutions ◽

Nonlinear Wave Equation ◽

Finite Deformation ◽

Function Method ◽

Boussinesq Equations ◽

Elastic Rod ◽

Variant Boussinesq Equations

The solving process of the hyperbola function method is introduced in this paper. By using hyperbola function method, the analytical solutions of nonlinear wave equation of a finite deformation elastic circular rod and the variant Boussinesq equations are studied. The more physical specifications of these nonlinear equations have been identified.

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