A Design Method of Impact Failure Criteria for Timoshenko Beams Under Support Excitations

WANG Le; LI Dong

doi:10.21656/1000-0887.400318

Volume 41 Issue 10

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WANG Le, LI Dong. A Design Method of Impact Failure Criteria for Timoshenko Beams Under Support Excitations[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1072-1082. doi: 10.21656/1000-0887.400318

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A Design Method of Impact Failure Criteria for Timoshenko Beams Under Support Excitations

doi: 10.21656/1000-0887.400318

WANG Le,
LI Dong

China Academy of Launch Vehicle Technology, Beijing 100076, P.R.China

Received Date: 2019-10-21
Publish Date: 2020-10-01

Abstract

Abstract

A design method of impact failure criteria for Timoshenko beams under support excitations was established. The system motion equations were solved and combined with the boundary conditions to give the natural frequency equations and the mode shapes for the system. To overcome the difficulty of solving impact responses under support excitations, the presumed displacement response of the Timoshenko beam was used to obtain the linear and angular displacements of the system, and in turn the internal forces and maximum equivalent von Mises stresses on related cross sections. Based on the von Mises yield criterion, the method determining the failure criteria of displacement, velocity and acceleration was given. The calculated impact responses of a typical example show that, there are 3 failure modes for the Timoshenko beam within the frequency range of 20 Hz to 5 000 Hz, i.e., yield failures at the root, the middle and the end. For each failure mode, the impact failure criteria expressed with the maximum available displacement amplitude, velocity amplitude and acceleration amplitude were given.
- component,
- Timoshenko beam,
- impact response,
- failure criterion

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References(15)

References

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