Impact response of an unrestrained modified Timoshenko beam
无约束修正Timoshenko梁的冲击问题

In this paper,the modified motion equation of Timoshenko beam is first introduced,which is then compared with that of Timoshenko beam.The orthogonality conditions of the modified Timoshenko beam, where the rotary inertia caused by the shear deformation is considered, are derived. The impact response formulas of an unrestrained modified Timoshenko beam under the impact of a lumped mass are deduced, and the corresponding numerical examples are analyzed. The evaluation results are compared with the impact response of the classical unrestrained Timoshenko beam with the same lumped mass. Finally, the effects of the beam stiffness and impact mass ratio on the response are discussed.