Dynamic Stiffness Matrix for a Beam Element with Shear Deformation

Article type: Research Article

Authors: Pilkey, Walter D. | Kitiş, Levent

Affiliations: Department of Mechanical, Aerospace and Nuclear Engineering, University of Virginia, Charlottesville, VA 22903

Abstract: A method for calculating the dynamic transfer and stiffness matrices for a straight Timoshenko shear beam is presented. The method is applicable to beams with arbitrarily shaped cross sections and places no restrictions on the orientation of the element coordinate system axes in the plane of the cross section. These new matrices are needed because, for a Timoshenko beam with an arbitrarily shaped cross section, deflections due to shear in the two perpendicular planes are coupled even when the coordinate axes are chosen to be parallel to the principal axes of inertia.

DOI: 10.3233/SAV-1995-2206

Journal: Shock and Vibration, vol. 2, no. 2, pp. 155-162, 1995