Trends in Developing Critical Elastic Buckling Formula for Fixed Rectangular Plate Subjected To a Concentrated Load

Apply

Trends in Developing Critical Elastic Buckling Formula for Fixed Rectangular Plate Subjected To a Concentrated Load

Journal Title: Trends in Civil Engineering and its Architecture - Year 2018, Vol 1, Issue 2

Abstract

Lateral buckling analysis of fixed rectangular plates under the lateral concentrated load is an interesting problem. However, there is not a determined equation to calculate the critical elastic buckling strength of such plate. This paper presents the equations of the previous studies by Cheng and Yuan and analyzes the critical buckling strength of the plate calculated by finite element method (FEM). Finally, discussion and suggestion on the trends in developing critical elastic buckling formula for such plate are made. Rayleigh-Ritz method is commonly used energy method to calculate the elastic buckling strength of a plate Qu [1]. The total potential energy of a structure is π = U + W , where U is the buckling deformation potential energy and W is the external potential energy. The critical buckling strength of a structure can be calculated once . For an end-fixed rectangular plate subjected to a concentrated load, the mechanical diagram is shown in (Figure 1). The buckling deformation potential energy of the plate can be determined as: As shown in (Figures 2-4), it can be found that the consequence of the buckling modes is moved by changing the height-to-width ratio of the plate. High-order buckling mode may be occurred in the plate with lower height-to-width ratio. According to the studies conducted by Cheng and Yuan, only two variables were in their equations, and the cosine function and polynomial function were used to describe the buckling modes of the analyzed plates. However, two variables might not be used to present the high-order buckling mode of half-waves more than three. Such functions limit more degree of freedom (DOF) of the plate, and the critical buckling strength calculated from such functions is larger than the correct value.

Authors and Affiliations

Rui Jiang, Liqiang Jiang

Keywords

Lupine Publishers Lupine Publishers Group lupine publishers indexing Journals lupine publishers indexing list lupine publishers indexing sites Indexed Journals indexed journals list List of Indexed Journals lupine publishers impact factor lupine publishers open access journals lupine publishers indexing Lupine group Lupine online open access open access journals open access journals publishers lupinepublishers Civil civil Engineering Concentrated Load Liqiang Jiang Poisson�s ratio Lanczos method Critical Elastic Buckling finite element method

Modelling and Simulation of Rainfall-Runoff Relations for Sustainable Water Resources Management in Ethiope Watershed using SCS-CN, ARC-GIS, ARC-HYDRO, HEC-GEOHMS and HEC-HMS

Rainfall-runoff modelling is an integral part of water resources planning and management. Runoff is one of the most important hydrologic variables used in most of the water resources applications and accurate information...

EP ID EP605051
DOI 10.32474/TCEIA.2018.01.000109
Views 93
Downloads 0