Buckling and Postbuckling Analysis of Laminated Shell Structures by Finite Elements Based on the Third Order Theory

1991 ◽  
pp. 89-104
Author(s):  
Stevan Maksimović
Keyword(s):  
Finite Elements ◽  
Order Theory ◽  
Shell Structures ◽  
Third Order ◽  
Laminated Shell ◽  
The Third

scholarly journals The Coupling Coefficients of Radial Pulsation in Third Order

1993 ◽  
Vol 134 ◽  
pp. 349-349
Author(s):  
T. Ishida ◽  
R. Takano ◽  
F. Yamakawa ◽  
M. Takeuti
Keyword(s):  
Order Theory ◽  
Radial Pulsation ◽  
Coupling Coefficients ◽  
Third Order ◽  
The Third ◽  
Stellar Models

AbstractThe third order theory of coupling is discussed regarding the radial pulsation of stellar models.

Wave Kinematics and Pressure Field of Third-Order Theory for Bichromatic Bi-Directional Waves in Water of Finite Depth

2014 ◽  
Vol 580-583 ◽  
pp. 2166-2169
Author(s):  
Hu Huang ◽  
Guo Liang Li
Keyword(s):  
Pressure Field ◽  
State Of The Art ◽  
Finite Depth ◽  
Order Theory ◽  
Offshore Structures ◽  
Structural Members ◽  
Third Order ◽  
Wave Kinematics ◽  
The Third ◽  
Directional Waves

Based on the third-order theory for bichromatic bi-directional waves in water of finite depth, a set of explicit formulas for the state-of-the art quantities of wave kinematics for horizontal and vertical particle displacements, velocities and accelerations, and wave pressure field is developed, and would be much more accurate and realistic in the design of harbor, coastal and offshore structures and their structural members.

Coding true arithmetic in the Medvedev and Muchnik degrees

2011 ◽  
Vol 76 (1) ◽  
pp. 267-288 ◽  
Author(s):  
Paul Shafer
Keyword(s):  
Order Theory ◽  
Second Order ◽  
Third Order ◽  
First Order ◽  
Closed Sets ◽  
The Third ◽  
First Order Theory ◽  
Medvedev Degrees

AbstractWe prove that the first-order theory of the Medvedev degrees, the first-order theory of the Muchnik degrees, and the third-order theory of true arithmetic are pairwise recursively isomorphic (obtained independently by Lewis, Nies, and Sorbi [7]). We then restrict our attention to the degrees of closed sets and prove that the following theories are pairwise recursively isomorphic: the first-order theory of the closed Medvedev degrees, the first-order theory of the compact Medvedev degrees, the first-order theory of the closed Muchnik degrees, the first-order theory of the compact Muchnik degrees, and the second-order theory of true arithmetic. Our coding methods also prove that neither the closed Medvedev degrees nor the compact Medvedev degrees are elementarily equivalent to either the closed Muchnik degrees or the compact Muchnik degrees.

scholarly journals Parametric analysis of some tensegrity structures

2019 ◽  
Vol 262 ◽  
pp. 10003 ◽  
Author(s):  
Wojciech Gilewski ◽  
Joanna Kłosowska ◽  
Paulina Obara
Keyword(s):  
Parametric Analysis ◽  
Dynamic Properties ◽  
Order Theory ◽  
Singular Value ◽  
Third Order ◽  
Tensegrity Structures ◽  
The Third ◽  
Stress States ◽  
Parametric Analyses ◽  
Value Decomposition

The objective of the paper are tensegrity structures and a possibility to control their properties such as a stiffness and a natural frequency, by the level of self-stress. Basic tensegrity modules and towers and plates built of these modules are considered. In each example mechanisms and self-stress states are identified using the singular value decomposition of compatibility matrix method. Parametric analyses of the effect of the self-stress state on the static and dynamic properties of structures are carried out. Analyses are performed using the second order theory (in Mathematica environment) and the third order theory (in Sofistik program).

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