Static and dynamic analysis of circular beams using explicit stiffness matrix

2016 ◽  
Vol 60 (1) ◽  
pp. 111-130 ◽  
Author(s):  
Mohammad Rezaiee-Pajand ◽  
Niloofar Rajabzadeh-Safaei
Keyword(s):  
Dynamic Analysis ◽  
Stiffness Matrix ◽  
Static And Dynamic Analysis

Static and Dynamic Analysis of Multi-Story Buildings, Including P-Delta Effects

1987 ◽  
Vol 3 (2) ◽  
pp. 289-298 ◽  
Author(s):  
E. L. Wilson ◽  
A. Habibullah
Keyword(s):  
Dynamic Analysis ◽  
Stiffness Matrix ◽  
Mode Shapes ◽  
Building Structures ◽  
Structural Stiffness ◽  
Lateral Loads ◽  
Static And Dynamic Analysis ◽  
Geometric Stiffness ◽  
Area Of Concern ◽  
Structural Engineers

The P-Delta phenomenon is an area of concern to structural engineers. Traditional methods for incorporating P-Delta effects in analysis are based on iterative techniques. These techniques are time-consuming and are in general used for static analysis only. For building structures, the mass, which causes the P-Delta effect, is constant irrespective of the lateral loads and displacements. This information is used to linearize the P-Delta effect for buildings and solve the problem “exactly”, satisfying equilibrium in the deformed position, without iterations. An algorithm is developed that incorporates the P-Delta effects into the basic formulation of the structural stiffness matrix as a geometric stiffness correction. This procedure can be used for both static and dynamic analysis and will account for the lengthening of the structural time periods and changes in mode shapes due to P-Delta effects. The algorithm can be directly incorporated into building analysis programs.

scholarly journals Static and dynamic analysis of homogeneous Micropolar-Cosserat panels

2021 ◽  
pp. 1-53
Author(s):  
S. K. Singh ◽  
A. Banerjee ◽  
R. K. Varma ◽  
S. Adhikari ◽  
S. Das
Keyword(s):  
Dynamic Analysis ◽  
Static And Dynamic Analysis

A New Approach to the Rigid Finite Element Method in Modeling Spatial Slender Systems

2018 ◽  
Vol 18 (02) ◽  
pp. 1850017 ◽  
Author(s):  
Iwona Adamiec-Wójcik ◽  
Łukasz Drąg ◽  
Stanisław Wojciech
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Analysis ◽  
Equations Of Motion ◽  
Nonlinear Dynamic Analysis ◽  
New Approach ◽  
Static And Dynamic Analysis ◽  
Rigid Finite Element Method ◽  
Longitudinal Flexibility ◽  
Element Method

The static and dynamic analysis of slender systems, which in this paper comprise lines and flexible links of manipulators, requires large deformations to be taken into consideration. This paper presents a modification of the rigid finite element method which enables modeling of such systems to include bending, torsional and longitudinal flexibility. In the formulation used, the elements into which the link is divided have seven DOFs. These describe the position of a chosen point, the extension of the element, and its orientation by means of the Euler angles Z[Formula: see text]Y[Formula: see text]X[Formula: see text]. Elements are connected by means of geometrical constraint equations. A compact algorithm for formulating and integrating the equations of motion is given. Models and programs are verified by comparing the results to those obtained by analytical solution and those from the finite element method. Finally, they are used to solve a benchmark problem encountered in nonlinear dynamic analysis of multibody systems.

Static and dynamic analysis of a gradient-elastic bar in tension

2002 ◽  
Vol 72 (6-7) ◽  
pp. 483-497 ◽  
Author(s):  
K. G. Tsepoura ◽  
S. Papargyri-Beskou ◽  
D. Polyzos ◽  
D. E. Beskos
Keyword(s):  
Dynamic Analysis ◽  
Static And Dynamic Analysis ◽  
Elastic Bar

Static and dynamic analysis of hydrodynamic journal bearing operating under nano lubricants

2009 ◽  
Vol 2 (1/2/3/4/5/6) ◽  
pp. 251 ◽  
Author(s):  
K. Prabhakaran Nair ◽  
Mohammed Shabbir Ahmed ◽  
Saed Thamer Al qahtani
Keyword(s):  
Dynamic Analysis ◽  
Journal Bearing ◽  
Static And Dynamic Analysis ◽  
Hydrodynamic Journal Bearing
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