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Dynamic stiffness matrix and load functions of Timoshenko beam using the transport matrix
Computers & Structures, 2001Abstract Based on the solution of the differential equations governing the dynamic equilibrium of a Timoshenko beam, the dynamic transport matrix equations and load functions are developed. The resulting matrix equations are then used to obtain analytical expressions for the components of dynamic stiffness matrix and load functions assuming that ...
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EXACT DYNAMIC STIFFNESS MATRIX FOR COMPOSITE TIMOSHENKO BEAMS WITH APPLICATIONS
Journal of Sound and Vibration, 1996Abstract In this paper, an exact dynamic stiffness matrix is presented for a composite beam. It includes the effects of shear deformation and rotatory inertia: i.e., it is for a composite Timoshenko beam. The theory accounts for the (material) coupling between the bending and torsional deformations which usually occurs for such beams due to the ...
J.R. Bannerjee, F.W. Williams
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Dynamic stiffness matrix method for axially moving micro-beam
Interaction and multiscale mechanics, 2012In this paper the dynamic stiffness matrix method was used for the free vibration analysis of axially moving micro beam with constant velocity. The extended Hamilton\'s principle was employed to derive the governing differential equation of the problem using the modified couple stress theory.
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Coupled bending–torsional dynamic stiffness matrix for axially loaded beam elements
International Journal for Numerical Methods in Engineering, 1992AbstractAnalytical expressions for the coupled bending–torsional dynamic stiffness matrix elements of an axially loaded uniform beam element are derived in an exact sense by solving the governing differential equations of motion of the beam. The influence of axial force on the coupled bending–torsional frequencies of a cantilever and hinged–hinged beam
Banerjee, J. R., Fisher, S. A.
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Coupled bending–torsional dynamic stiffness matrix for beam elements
International Journal for Numerical Methods in Engineering, 1989AbstractExplicit expressions for the coupled bending–torsional dynamic stiffness matrix of a uniform beam element are derived in an exact sense by solving the governing differential equation of the beam. Implementation of the derived dynamic stiffness matrix in a space frame computer program is discussed with particular reference to an established ...
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2019
Based on our studies on the kinetostatic and dynamic modeling of compliant mechanisms with a dynamic stiffness method, this paper continues to build the dynamic stiffness matrix library for common flexure members, so as to make the technique competent for all kinds of compliant mechanisms. Designers can choose suitable dynamic stiffness matrix from the
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Based on our studies on the kinetostatic and dynamic modeling of compliant mechanisms with a dynamic stiffness method, this paper continues to build the dynamic stiffness matrix library for common flexure members, so as to make the technique competent for all kinds of compliant mechanisms. Designers can choose suitable dynamic stiffness matrix from the
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Flexibility Effects—Estimation of the Stiffness Matrix in the Dynamics of a Large Structure
Journal of Vibration and Acoustics, 1987In this paper, an estimation of the stiffness matrix for a mechanical tree-like structure is presented. The coefficients of the stiffness matrix are evaluated based on Kane’s equations together with the finite segment modeling technique and matrix structure analysis.
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General dynamic‐stiffness matrix of a timoshenko beam for transverse vibrations
Earthquake Engineering & Structural Dynamics, 1987AbstractThe general dynamic‐stiffness matrix of a Timoshenko beam for transverse vibrations is presented in this paper. All the effects of rotary inertia of the mass, shear distortion, structural damping, axial force, elastic‐spring and dashpot foundation are taken into account in the formulation.
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Pavement Dynamic Response by Stiffness Matrix Approach
Recent Advances in Materials Characterization and Modeling of Pavement Systems, 2003Nenad Gucunski, Ali Maher
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The Dynamic Stiffness Matrix of a Rotating Asymmetric Bernoulli-Euler Shaft
Journal of Vibration and Acoustics, 2001RAFFA, Francesco Antonino, VATTA, Furio
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