Exact Analysis of Curved Beams and Arches with Arbitrary End Conditions: A Hamiltonian State Space Approach

2011 ◽  
Vol 107 (1) ◽  
pp. 39-63 ◽  
Author(s):  
Jiann-Quo Tarn ◽  
Wei-Der Tseng
Keyword(s):  
State Space ◽  
Curved Beams ◽  
State Space Approach ◽  
Exact Analysis ◽  
End Conditions ◽  
Space Approach

Exact Analysis of Stress Fields in Composite Laminates under Extension

2014 ◽  
Vol 30 (5) ◽  
pp. 477-489 ◽  
Author(s):  
W.-Y. Liang ◽  
W.-D. Tseng ◽  
J.-Q. Tarn
Keyword(s):  
State Space ◽  
Composite Laminates ◽  
Complete Solution ◽  
Rectangular Section ◽  
State Space Approach ◽  
Exact Analysis ◽  
End Conditions ◽  
Particular Solution ◽  
Uniform Extension ◽  
Space Approach

AbstractExact analysis of displacements and stresses in 2-D orthotopic laminates under extension is conducted. On the basis of the Hamiltonian state space approach and the transfer matrix method, a complete solution, in the context of generalized strain, which exactly satisfies the state space equation, the traction-free BC on the top and bottom surfaces of the rectangular section, the interfacial continuity conditions in multi-layered laminates, and the end conditions on free edges, is obtained by combing the eigensolutions and the particular solution. Evaluating of the stresses in the boundary layer for verification shows that the stress decay in laminates under uniform extension may be slow and the edge effects may be pronounced.

GENERALIZED THEORY OF MAGNETO-THERMO-VISCOELASTIC SPHERICAL CAVITY PROBLEM UNDER FRACTIONAL ORDER DERIVATIVE: STATE SPACE APPROACH

2020 ◽  
Vol 9 (11) ◽  
pp. 9769-9780
Author(s):  
S.G. Khavale ◽  
K.R. Gaikwad
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Order Derivative ◽  
Laplace Inversion ◽  
State Space Approach ◽  
Spherical Region ◽  
Fractional Order Derivative ◽  
Numerical Laplace Inversion ◽  
Mathcad Software ◽  
Space Approach

This paper is dealing the modified Ohm's law with the temperature gradient of generalized theory of magneto-thermo-viscoelastic for a thermally, isotropic and electrically infinite material with a spherical region using fractional order derivative. The general solution obtained from Laplace transform, numerical Laplace inversion and state space approach. The temperature, displacement and stresses are obtained and represented graphically with the help of Mathcad software.

scholarly journals A Bayesian State-Space Approach to Mapping Directional Brain Networks

2020 ◽  
pp. 1-24
Author(s):  
Huazhang Li ◽  
Yaotian Wang ◽  
Guofen Yan ◽  
Yinge Sun ◽  
Seiji Tanabe ◽  
...  
Keyword(s):  
State Space ◽  
Brain Networks ◽  
State Space Approach ◽  
Space Approach
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