Analytical solutions for plate buckling from static analysis approach

2022 ◽  
pp. 1-31
Author(s):  
J. Tenenbaum ◽  
M. Eisenberger
Keyword(s):  
Static Analysis ◽  
Analytical Solutions ◽  
Analysis Approach ◽  
Plate Buckling

Android botnet detection using machine learning models based on a comprehensive static analysis approach

2021 ◽  
Vol 58 ◽  
pp. 102735
Author(s):  
Wadi’ Hijawi ◽  
Ja’far Alqatawna ◽  
Ala’ M. Al-Zoubi ◽  
Mohammad A. Hassonah ◽  
Hossam Faris
Keyword(s):  
Machine Learning ◽  
Static Analysis ◽  
Analysis Approach ◽  
Learning Models ◽  
Botnet Detection ◽  
Machine Learning Models

Static Analysis of Curved Beams with Clamped-Clamped Ends under Thermo Load

2011 ◽  
Vol 117-119 ◽  
pp. 1543-1546
Author(s):  
Xiao Fei Li ◽  
Chun Yi Cui ◽  
De Hai Yu
Keyword(s):  
Thermal Expansion ◽  
Static Analysis ◽  
Cross Section ◽  
Analytical Solutions ◽  
Virtual Work ◽  
Curved Beams ◽  
Curved Bridges ◽  
Internal Forces ◽  
The Cross ◽  
Scientific Base

Based on the principle of thermal expansion and theory of virtual work, a class of equations for in-plane displacements at three freedom direction and internal forces in the cross-section of statically indeterminate curved beams under thermo load are derived explicitly. In the case of infinite limit of radius, these equations coincide with that of the straight beams. Compared with the results of FEM, the analytical solutions by the proposed formulae are accurate. The analytical solutions obtained in this paper would provide a scientific base for further study and design of the curved bridges.

Analytical Solutions Using a Higher-Order Refined Theory for the Static Analysis of Functionally Graded Material Plates

2013 ◽  
Vol 705 ◽  
pp. 30-35
Author(s):  
K. Swaminathan ◽  
D.T. Naveenkumar
Keyword(s):  
Shear Deformation ◽  
Static Analysis ◽  
Functionally Graded Material ◽  
Analytical Solutions ◽  
Degrees Of Freedom ◽  
Order Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Simply Supported ◽  
Graded Material

Analytical formulations and solutions to the static analysis of simply supported Functionally Graded Material (FGM) plates hitherto not reported in the literature based on a higher-order refined shear deformation theory with nine degrees-of-freedom already reported in the literature are presented. This computational model incorporates the plate deformations which account for the effect of transverse shear deformation. The transverse displacement is assumed to be constant throughout the thickness. In addition, another higher order theory with five degrees-of-freedom and the first order theory already reported in the literature are also considered for comparison. The governing equations of equilibrium using all the computational models are derived using the Principle of Minimum Potential Energy (PMPE) and the analytical solutions are obtained in closed-form using Naviers solution technique. A simply supported plate with SS-1 boundary conditions subjected to transverse loading is considered for all the problems under investigation. The varying parameters considered are the side-to-thickness ratio, power law function, edge ratio and the degree of anisotropy. Correctness of the formulation and the solution method is first established and then extensive numerical results using all the models are presented which will serve as a bench mark for future investigations.

Simplified method for static analysis of bi-cable triple-pylon suspension bridges

2018 ◽  
Vol 22 (5) ◽  
pp. 1175-1185 ◽  
Author(s):  
Lijun Jia ◽  
Yu Jiang ◽  
Rucheng Xiao ◽  
Dong Xu
Keyword(s):  
Static Analysis ◽  
Conceptual Design ◽  
Analytical Solutions ◽  
Reference Value ◽  
Suspension Bridge ◽  
Suspension Bridges ◽  
Design Phase ◽  
Conceptual Design Phase ◽  
Simplified Method ◽  
Load Intensity

A bi-cable scheme of a triple-pylon suspension bridge can greatly decrease the unbalanced horizontal force on the top of mid-pylon and is more economical compared with a single-cable scheme. This article proposes an appropriate simplified method for static analysis of bi-cable triple-pylon suspension bridges in the conceptual design phase. First, theoretical analysis was performed considering the elastic extension of hangers. And the analytical solutions to cable extension under live-load, dead-load intensity, and the static characteristics were obtained. Second, verification of the accuracy of the analytical solutions was conducted by establishing FEM model of triple-pylon steel-box-girder suspension bridges with main spans from 1500 to 2500 m. The comparative analysis shows that the results of the analytical solutions are in good agreement with the Finite Element Models and of great reference value in the conceptual design phase.

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