Differential quadrature procedure for in -plane vibration analysis of variable thickness circular arches traversed by a moving point load

作者：Eftekhari S A^*

来源：Applied Mathematical Modelling, 2016, 40(7-8): 4640-4663.

DOI：10.1016/j.apm.2015.11.046

• Differential quadrature method (DQM)
• Dirac-delta function
• Fourier series expansion
• Free and forced vibrations analysis
• Moving point load
• Variable thickness circular arches

Point discretization methods such as the differential quadrature method (DQM) are well known to have difficulties in solving partial differential equations that involve the Dirac-delta function because the Dirac-delta function is a generalized singularity function and it cannot be discretized directly using the DQM. To overcome this difficulty, a simple differential quadrature methodology is proposed in this study, where the Dirac-delta function is expanded into a Fourier trigonometric series. By expanding the Dirac-delta function into a Fourier trigonometric series, this singular function is treated as non-singular functions, which can be discretized easily and directly using the DQM. The applicability of the proposed method is demonstrated by the in-plane vibration analysis of variable thickness circular arches traversed by a moving point load. The numerical results show that the proposed method is highly accurate and reliable.

• 出版日期2016-4