Abstract
The free vibration analysis of axially loaded composite Timoshenko beams is carried out by using the dynamic stiffness matrix method. This is accomplished by developing an exact dynamic stiffness matrix of a composite beam with the effects of axial force, shear deformation and rotatory inertia taken into account, i.e. it is for an axially loaded composite Timoshenko beam. The theory includes the (material) coupling between the bending and torsional modes of deformations which is usually present in laminated composite beams due to ply orientation. An analytical expression for each of the elements of the dynamic stiffness matrix is derived by rigorous application of the symbolic computing package reduce. Use of such expressions leads to substantial savings in computer time when compared with numerical methods usually adopted in the absence of such expressions. The application of the dynamic stiffness matrix is demonstrated by investigating the free vibration characteristics of an example composite beam for which some comparative results are available. The solution technique used to yield the natural frequencies is that of the Wittrick–Williams algorithm. The effects of axial force, shear deformation and rotatory inertia on the natural frequencies are demonstrated. The theory developed has applications to composite wings and helicopter blades.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
