scholarly journals Dynamic stiffness matrix method for three-dimensional analysis of crankshaft vibrations. 3rd report. Application of flywheel FEM model and "multi-points spring-support model" for oil-film of crankjournals.

1990 ◽  
Vol 56 (529) ◽  
pp. 2319-2326
Author(s):  
Hideo OKAMURA ◽  
Akio SUZUKI ◽  
Kiyoshi SOGABE ◽  
Yukio SUZUKI ◽  
Yoshihiro SATOH
Keyword(s):  
Dimensional Analysis ◽  
Stiffness Matrix ◽  
Matrix Method ◽  
Dynamic Stiffness ◽  
Three Dimensional ◽  
Fem Model ◽  
Dynamic Stiffness Matrix ◽  
Oil Film ◽  
Spring Support ◽  
Support Model

scholarly journals Analytical Investigation of the Dynamic Response of a Timoshenko Thin-Walled Beam with Asymmetric Cross Section Under Deterministic Loads

2017 ◽  
Vol 11 (1) ◽  
pp. 802-821
Author(s):  
Elham Ghandi ◽  
Ahmed Ali Akbari Rasa
Keyword(s):  
Differential Equations ◽  
Dynamic Response ◽  
Stiffness Matrix ◽  
Matrix Method ◽  
Nonlinear Eigenvalue Problem ◽  
Dynamic Stiffness ◽  
Free Vibration Analysis ◽  
Dynamic Features ◽  
Dynamic Stiffness Matrix ◽  
Thin Walled

Inroduction: The objective of the present paper is to analyze dynamic response of the Timoshenko thin-walled beam with coupled bending and torsional vibrations under deterministic loads. The governing differential equations were obtained by using Hamilton’s principle. The Timoshenko beam theory was employed and the effects of shear deformations, Rotary inertia and warping stiffness were included in the present formulations. Dynamic features of underlined beam are obtained using free vibration analysis. Methods: For this purpose, the dynamic stiffness matrix method is used. Application of exact dynamic stiffness matrix method on the movement differential equations led to the issue of nonlinear eigenvalue problem that was solved by using Wittrick–Williams algorithm . Differential equations for the displacement response of asymmetric thin-walled Timoshenko beams subjected to deterministic loads are used for extracting orthogonality property of vibrational modes. Results: Finally the numerical results for dynamic response in a sample of mentioned beams is presented. The presented theory is relatively general and can be used for various kinds of deterministic loading in Timoshenko thin-walled beams.

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