Nonlinear analysis of out-of-plane masonry façades: full dynamic versus pushover methods by rigid body and spring model

2012 ◽  
Vol 42 (4) ◽  
pp. 499-521 ◽  
Author(s):  
Siro Casolo ◽  
Giuseppina Uva
Keyword(s):  
Rigid Body ◽  
Nonlinear Analysis ◽  
Spring Model ◽  
Out Of Plane

An analytical method for full-range mechanical behavior of continuous slab-deck in multi-span simply supported concrete bridges

2021 ◽  
pp. 136943322110427
Author(s):  
Xiang Zhang ◽  
Quan-Sheng Yan ◽  
Bu-Yu Jia ◽  
Zheng Yang ◽  
Ying-Hao Zhao ◽  
...  
Keyword(s):  
Nonlinear Analysis ◽  
Full Range ◽  
Scale Model ◽  
Axial Stiffness ◽  
Spring Model ◽  
Analysis Model ◽  
Rotational Spring ◽  
Simply Supported ◽  
Continuous Slab ◽  
Rotational Spring Model

Connecting the ends of girders with a continuous slab-deck to make a multiple-span simply supported girder bridge provides many benefits, but there is no suitable nonlinear analysis model which considers continuous slab-deck cracking under tension and bending. In this article, the rotational spring model is further refined to replace the restraining effects at both ends of the girder by the simplified mechanical model associated with axial stiffness, bending stiffness, and shear stiffness. Then, it is introduced into the analysis of continuous slab-deck. The more accurate rotations and displacements of both ends of continuous slab-deck are obtained to investigate the more precise moment and tension of the continuous slab-deck. Furthermore, this article presents an improved nonlinear analysis model of continuous slab-deck based on a detailed boundary rotational spring model. The displacements of important positions and the strain of key components in continuous slab-deck after cracking are investigated by numerical analysis and full-scale model test to verify the accuracy of the proposed nonlinear analysis model. The result shows that the nonlinear analysis model presented in this article could successfully evaluate the depth of cracks and the stress of rebars in continuous slab-deck, and it is instructional in predicting the cracking state of the continuous slab-deck and the reinforcement design.

Computer Simulation of Hip Osteotomies for Dysplastic Coxarthroses: Use of a Rigid Body Spring Model

1993 ◽  
pp. 171-186
Author(s):  
Naoto Shiba ◽  
Hisashi Yamashita ◽  
Fujio Higuchi ◽  
Akio Inoue
Keyword(s):  
Computer Simulation ◽  
Rigid Body ◽  
Spring Model

Conditions for the planes of symmetry of an elastically supported rigid body

2009 ◽  
Vol 223 (8) ◽  
pp. 1755-1766 ◽  
Author(s):  
S J Jang ◽  
Y J Choi
Keyword(s):  
Rigid Body ◽  
Eigenvalue Problems ◽  
Mass Matrix ◽  
Equations Of Motion ◽  
Mass Matrices ◽  
Out Of Plane ◽  
Modes Of Vibration ◽  
Compliance Matrices ◽  
Special Points ◽  
Elastically Supported

Introducing the planes of symmetry into an oscillating rigid body suspended by springs simplifies the complexity of the equations of motion and decouples the modes of vibration into in-plane and out-of-plane modes. There have been some research results from the investigation into the conditions for planes of symmetry in which prior conditions for the simplification of the equations of motion are required. In this article, the conditions for the planes of symmetry that do not need prior conditions for simplification are presented. The conditions are derived from direct expansions of eigenvalue problems for stiffness and mass matrices that are expressed in terms of in-plane and out-of-plane modes and the orthogonality condition with respect to the mass matrix. Two special points, the planar couple point and the perpendicular translation point are identified, where the expressions for stiffness and compliance matrices can be greatly simplified. The simplified expressions are utilized to obtain the analytical expressions for the axes of vibration of a vibration system with planes of symmetry.

scholarly journals Applicability of a Rigid Body Spring Model to Impact Problems of Axi-symmetric Elastic Bodies

1999 ◽  
Vol 2 ◽  
pp. 271-278 ◽  
Author(s):  
Atsushi KAMBAYASHI ◽  
Harutoshi KOBAYASHI ◽  
Keiichiro SONODA
Keyword(s):  
Rigid Body ◽  
Spring Model ◽  
Elastic Bodies ◽  
Impact Problems
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