Exact Expression of Element Stiffness Matrix for a Tapered Beam and its Application in Stability Analysis

Li, Meng; Lu, Nian Li; Liu, Shi Ming

doi:10.4028/www.scientific.net/amr.255-260.1968

Cited by 2 publications

(1 citation statement)

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“…An efficient procedure to find shape functions and stiffness matrices of non-prismatic elements was obtained by Shooshtari and Khajavi (2010). Based on the finite element method, Meng et al (2011) presented exact stiffness matrix of tapered beam. Valipour and Bradford (2012) used the forcebased approach for obtaining a new shape function for tapered three-dimensional beams with flexible connections.…”

Section: Introductionmentioning

confidence: 99%

Stability of non-prismatic frames with flexible connections and elastic supports

2015

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An accurate formulation is obtained to determine critical load, and corresponding equivalent effective length factor of a simple frame. The presented methodology is based on the exact solutions of the governing differential equations for buckling of a frame with tapered and/or prismatic columns. Accordingly, the influences of taper ratio, shape factor, flexibility of connections, and elastic supports on the critical load, and corresponding equivalent efficient length factor of the frame will be investigated. The authors' findings can be easily applied to the stability design of general non-prismatic frames. Moreover, comparing the results with the accessible outcomes demonstrate the accuracy, efficiency and capabilities of the proposed formulation.

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Section: Introductionmentioning

confidence: 99%

Stability of non-prismatic frames with flexible connections and elastic supports

2015

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Parametric stiffness modeling of a variable cross-section link for a collaborative robot

Du¹

2023

HSET

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This paper describes how a parametric stiffness model of the variable cross-section link of a collaborative robot is obtained. The variable cross-section link module is divided into three parts: the front connection part, the rear connection part, and the main part. The static condensation method is used to model the stiffness of the connecting parts. The parametric stiffness modeling of the main part is carried out using the structural mechanics method. The stiffness models of the three parts are integrated into the parametric stiffness model of the entire link. The parametric stiffness model of the variable cross-section link is related to the structural dimensions of the link. The elastic deformation errors in all directions obtained from the stiffness model are within 5%. The method establishes the mapping relationship between the link’s structural dimensions and its stiffness model. Based on this, the structural optimization of a collaborative robot based on parametric stiffness model is made possible.

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Exact Expression of Element Stiffness Matrix for a Tapered Beam and its Application in Stability Analysis

Cited by 2 publications

References 7 publications

Stability of non-prismatic frames with flexible connections and elastic supports

Stability of non-prismatic frames with flexible connections and elastic supports

Parametric stiffness modeling of a variable cross-section link for a collaborative robot

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