The stability and axial vibration of a compressive bar are investigated through the nonlocal elasticity approach. The explicit solutions for critical pressure and inherent frequency are obtained according to three typical kinds of boundary conditions. It is shown that an increase in dimensionless small scale parameter causes the critical pressure and inherent frequency to decrease. A numerical example is presented and it indicates the nonlocal critical pressure decreases with increasing the length of compressive bars, and critical pressure approaches to a constant when the length is closed to macro size. Nonlocal critical pressure and inherent frequency are lower than the results from classical continuum mechanics, namely, the classical mechanics overestimates the critical pressure and inherent frequency of a structure at small scale. With an increase in length of the compressive bars, nonlocal results are in good agreement with classical results.
LI Cheng;HUANG Wei-guo;ZHU Zhong-kui.
On the stability and axial vibration of compressive bars based on nonlocal elasticity theory[J]. Journal of Vibration and Shock, 2013, 32(5): 154-156
PDF(983 KB)
