Dynamic Stiffness Matrix for a Beam Element with Shear Deformation
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 cro...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1995-2206 |
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| _version_ | 1849472731363409920 |
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| author | Walter D. Pilkey Levent Kitiş |
| author_facet | Walter D. Pilkey Levent Kitiş |
| author_sort | Walter D. Pilkey |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dd204eccce4d43478eef9a2194cda511 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-dd204eccce4d43478eef9a2194cda5112025-08-20T03:24:26ZengWileyShock and Vibration1070-96221875-92031995-01-012215516210.3233/SAV-1995-2206Dynamic Stiffness Matrix for a Beam Element with Shear DeformationWalter D. Pilkey0Levent Kitiş1Department of Mechanical, Aerospace and Nuclear Engineering, University of Virginia, Charlottesville, VA 22903, USADepartment of Mechanical, Aerospace and Nuclear Engineering, University of Virginia, Charlottesville, VA 22903, USAA 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.http://dx.doi.org/10.3233/SAV-1995-2206 |
| spellingShingle | Walter D. Pilkey Levent Kitiş Dynamic Stiffness Matrix for a Beam Element with Shear Deformation Shock and Vibration |
| title | Dynamic Stiffness Matrix for a Beam Element with Shear Deformation |
| title_full | Dynamic Stiffness Matrix for a Beam Element with Shear Deformation |
| title_fullStr | Dynamic Stiffness Matrix for a Beam Element with Shear Deformation |
| title_full_unstemmed | Dynamic Stiffness Matrix for a Beam Element with Shear Deformation |
| title_short | Dynamic Stiffness Matrix for a Beam Element with Shear Deformation |
| title_sort | dynamic stiffness matrix for a beam element with shear deformation |
| url | http://dx.doi.org/10.3233/SAV-1995-2206 |
| work_keys_str_mv | AT walterdpilkey dynamicstiffnessmatrixforabeamelementwithsheardeformation AT leventkitis dynamicstiffnessmatrixforabeamelementwithsheardeformation |