Finite Cover Method for Physically and Geometrically Nonlinear Problems

2006 ◽  
pp. 169-190
Author(s):  
Kenjiro Terada ◽  
Mitsuteru Asai
Keyword(s):  
Nonlinear Problems ◽  
Geometrically Nonlinear ◽  
Finite Cover ◽  
Finite Cover Method

scholarly journals Analytical Method for Geometric Nonlinear Problems Based on Offshore Derricks

Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 610
Author(s):  
Chunbao Li ◽  
Hui Cao ◽  
Mengxin Han ◽  
Pengju Qin ◽  
Xiaohui Liu
Keyword(s):  
Analytical Method ◽  
Bending Moment ◽  
Nonlinear Problems ◽  
Weather Conditions ◽  
Order Effect ◽  
Practical Calculation ◽  
Geometrically Nonlinear ◽  
Uniform Load ◽  
Safety Research ◽  
Calculation Results

The marine derrick sometimes operates under extreme weather conditions, especially wind; therefore, the buckling analysis of the components in the derrick is one of the critical contents of engineering safety research. This paper aimed to study the local stability of marine derrick and propose an analytical method for geometrically nonlinear problems. The rod in the derrick is simplified as a compression rod with simply supported ends, which is subjected to transverse uniform load. Considering the second-order effect, the differential equations were used to establish the deflection, rotation angle, and bending moment equations of the derrick rod under the lateral uniform load. This method was defined as a geometrically nonlinear analytical method. Moreover, the deflection deformation and stability of the derrick members were analyzed, and the practical calculation formula was obtained. The Ansys analysis results were compared with the calculation results in this paper.

Modal Reduction Procedures for Flexible Multibody System Applications

2020 ◽  
Author(s):  
Matteo Scapolan ◽  
Minghe Shan ◽  
Olivier A. Bauchau
Keyword(s):  
Three Dimensional ◽  
Small Deformation ◽  
Nonlinear Problems ◽  
Rigid Bodies ◽  
Geometrically Nonlinear ◽  
Structural Components ◽  
Modal Reduction ◽  
Flexible Multibody ◽  
Modal Component ◽  
Material Frame

Abstract The comprehensive simulation of flexible multibody systems calls for the ability to model various types of structural components such as rigid bodies, beams, plates, and kinematic joints. Modal components test offer additional modeling versatility by enabling the treatment of complex, three-dimensional structures via modal reduction procedures based on the small deformation assumption. In this paper, the problem is formulated within the framework of the motion formalism. The kinematic description involves simple, straightforward frame transformations and leads to deformation measures that are both objective and tensorial. Derivatives are expressed in the material frame, which results in the remarkable property that the tangent matrices are independent of the configuration of the modal component with respect to an inertial frame. This implies a reduced level of geometric nonlinearity as compared to standard description. In particular, geometrically nonlinear problems can be solved with the constant tangent matrices of the reference configuration, without re-evaluation and re-factorization.

scholarly journals DEVELOPMENT OF FRACTURE SIMULATION BY THE FINITE COVER METHOD USING INTERFACE ELEMENT

2005 ◽  
pp. 213-225 ◽  
Author(s):  
Tateki ISHII ◽  
Kenjiro TERADA ◽  
Takashi KYOYA ◽  
Yuji KISHINO
Keyword(s):  
Interface Element ◽  
Finite Cover ◽  
Fracture Simulation ◽  
Finite Cover Method

904 Improvement of accuracy in finite cover method by mesh superposition method

2005 ◽  
Vol 2005.18 (0) ◽  
pp. 177-178
Author(s):  
Katsuyuki SUZUKI ◽  
Shogo NAKASUMI ◽  
Toshifumi SHIMAMURA
Keyword(s):  
Superposition Method ◽  
Finite Cover ◽  
Finite Cover Method

513 Analysis of ice break behavior using finite cover method

2010 ◽  
Vol 2010.23 (0) ◽  
pp. 82-83
Author(s):  
Katsuyuki SUZUKI ◽  
Tatsuhiko GOSEKI
Keyword(s):  
Finite Cover ◽  
Finite Cover Method
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