Dynamic analysis of laminated plate and ballastless track slab on Pasternak foundation under moving load based on different shear deformation theory
Creators: name: Xia, Qing
name: Chen, Baikuang
name: Tan, Jincheng
name: Zhang, Xuebing
name: Xiang, Ping
Publisher: name: Taylor & Francis
Year: 2024
Subjects: Biophysics
Space Science
Physical Sciences not elsewhere classified
Biotechnology
Environmental Sciences not elsewhere classified
Biological Sciences not elsewhere classified

description: In this work, different shear deformation theories are used for the first time to investigate the effect of shear deformation on the dynamic response of laminated plates and track slab on a Pasternak foundation under moving load. The Pasternak formulation was used to simulate the interaction between the slab and the elastic foundation. Using Hamilton’s principle, the governing equations are derived based on the third-order shear deformation theory (TSDT) in the higher-order shear deformation theory (HSDT). Additionally, governing equations based on the first-order shear deformation theory (FSDT) and the classical laminate plate theory (CLPT) are also derived. The analytical solution of the classical plate theory (CPT) is derived as an example for isotropic thin plates and used as a benchmark solution to verify the accuracy of the governing equations based on TSDT, FSDT, and CLPT. Then, the effect of the thickness-to-width ratio on the dynamic response of the laminated slab is investigated, along with the effects of the Pasternak foundation coefficient, the vertical load movement speed, and load eccentricity on the dynamic response of the laminated plate and the track slab. The effect of uncertainty in the modulus of elasticity on the analytical results is also examined. The results indicate that considering shear deformation is essential in the dynamic analysis of CRTSII plate ballast slabs, but higher-order shear deformation theory should be avoided due to its computational cost and complexity. This study provides a benchmark solution for further work. For the first time, the dynamic response of CRTSII plate ballastless track slab on Pasternak elastic foundations under moving loads is analyzed based on higher-order shear deformation theory.The detailed parametric analysis is sufficient to illustrate the effect of different shear deformation theories on the dynamic response of the laminated structure, which provides a reference for the adoption of different shear deformation theories in engineering and design.With simple modifications, the methods in this paper can be extended to the analysis of various laminated structures with different boundary conditions and different foundation forms. For the first time, the dynamic response of CRTSII plate ballastless track slab on Pasternak elastic foundations under moving loads is analyzed based on higher-order shear deformation theory. The detailed parametric analysis is sufficient to illustrate the effect of different shear deformation theories on the dynamic response of the laminated structure, which provides a reference for the adoption of different shear deformation theories in engineering and design. With simple modifications, the methods in this paper can be extended to the analysis of various laminated structures with different boundary conditions and different foundation forms.