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Exact post-buckling analysis of planar and space trusses

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TLDR
A family of simple planar and space trusses can be analyzed analytically and a parametric study of geometrical bounds for monitoring secondary branches is given, which clarifies the effect of geometry on the truss’ behavior.
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This article is published in Engineering Structures.The article was published on 2020-11-15. It has received 3 citations till now. The article focuses on the topics: Truss & Limit point.

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Citations
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Stress-driven nonlinear behavior of curved nanobeams

TL;DR: In this paper , a nonlocal stress-driven model for geometrically nonlinear behavior of a shallow arch under radial pressure is presented, and the analytical nonlinear equilibrium equation and also buckling equations by variational principles and virtual work are found.
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A novel and highly efficient strategy to determine the ‘worst’ imperfection shape for buckling of cylindrical shell panels

TL;DR: In this paper , a reduced order model based on the improved Koiter theory is constructed using all the closely-spaced modes, only once for perfect structure and then applicable for any imperfections by just updating the independent imperfection term.
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Assessment of the Effect of Wind Load on the Load Capacity of a Single-Layer Bar Dome

TL;DR: In this paper, the effect of wind load on the load capacity of a single-layer bar dome was assessed and an example of the known von Mises truss was proposed.
References
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Journal ArticleDOI

Solution method for nonlinear problems with multiple critical points

TL;DR: A generalized displacement control method has been proposed for geometrically nonlinear analysis and has been proven to be bery effective by several problems with multiple limit points and snap-back points as mentioned in this paper.
Journal ArticleDOI

A study of incremental-iterative strategies for non-linear analyses

TL;DR: In this paper, a study of incremental-iterative solution techniques for geometrically non-linear analyses is presented, where the tangent stiffness matrix is computed at the commencement of each load step but is then held constant throughout the equilibrium iterations.
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A study on arc-length-type methods and their operation failures illustrated by a simple model

TL;DR: In this article, a geometrical interpretation of the Risks-Wempner method and a new algorithm to choose the appropriate root of a nonlinear constraint equation are presented.
Journal ArticleDOI

On the arc-length and other quadratic control methods: Established, less known and new implementation procedures

TL;DR: The use of control methods to compute geometrically nonlinear equilibrium paths is now well established as mentioned in this paper, and the arc-length method and other quadratic control methods are well established.
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