Buckling analysis of thin-walled members via semi-analytical finite strip transfer matrix method

Zhang, Yu; He, Bin; Yao, Li-Ke; Long, Jin

doi:10.1177/1687814016650341

Cited by 5 publications

(5 citation statements)

References 42 publications

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“…Because of the complicated profile shape (deep corrugations on the surface), an indirect method for detection of buckling and local instabilities formation was employed. The method is based on the observation of equilibrium path nonlinearities in the phase II pre-buckling elastic range instead of the classic approach [22][23][24][26][27][28][29][30] that relies on the determination of the plastic hinges' geometry. Phase I is a pre-buckling elastic range and ends when the yield strength f y = 337 MPa is achieved, transiting to the phase II pre-buckling elastoplastic range.…”

Section: Discussionmentioning

confidence: 99%

“…The knowledge about the local instability formation mechanism is useful for predicting the entire structure's stability and load-carrying capacity and particularly useful for spotting the nature and place of damage. Scientific studies on the subject [26][27][28][29] have made a significant contribution to the development of science and technology, but they are usually related to flat-walled profiles of regular geometry. Determination of the failure mechanism becomes more complicated with irregular geometry such as the double-corrugated one.…”

Section: Introductionmentioning

confidence: 99%

“…Determination of the failure mechanism becomes more complicated with irregular geometry such as the double-corrugated one. Therefore, the search for buckling mechanisms carried out with classical methods [22][23][24][26][27][28][29][30] is difficult in the case of double-corrugated profiles.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Prediction of Local Instability in Double Corrugated Profiles

Piekarczuk

Więch

2021

Materials

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The technological process of forming the double-corrugated structures of the K-span system causes deep transverse embossing on the surface of the profiles. Such profile geometry makes it difficult to apply classical theories related to plastic failure mechanisms to identify the formation of local instabilities. This article presents an original method for the prediction of local instabilities of double-corrugated structures. The method was developed on the basis of a hierarchical validated FEM model. The geometrically and materially nonlinear analysis method was adopted to perform numerical calculations. The results of calculations enabled the determination of reference equilibrium paths for the eccentrically compressed shell element. Based on the analysis of nonlinear equilibrium paths, a method for predicting the beginning and the end of the appearance of local instabilities in the elastoplastic pre-buckling range was developed.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Prediction of Local Instability in Double Corrugated Profiles

Piekarczuk

Więch

2021

Materials

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“…The transfer matrix method for multibody systems (MSTMM), which features no global dynamics equations, high programming, low order of system matrix, and high computational speed, is a powerful numerical analysis approach for multibody systems with various topological structures. 19 To further enhance the efficiency of SA-FSM in analyzing the buckling problem of thin-walled members, semi-analytical finite strip transfer matrix method (FSTMM) 20 was advanced by introducing MSTMM in SA-FSM. The method requires no global stiffness, thus greatly reduces the computational load while deriving all the benefit of SAFSM.…”

Section: Introductionmentioning

confidence: 99%

Finite strip-Riccati transfer matrix method for buckling analysis of tree-branched cross-section thin-walled members

Zhou

et al. 2022

Advances in Mechanical Engineering

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Thin-walled components are gaining wide application in the field of modern engineering structures. The buckling analysis of thin-walled structures has thus become an important research topic. Here, we developed a new method named as finite strip-Riccati transfer matrix method (Riccati FSTMM) for buckling analysis of tree-branched cross-section thin-walled members. The method integrates Riccati transfer matrix method (Riccati TMM) for tree multi-body system with semi-analytical finite strip method (SA-FSM). Compared to SA-FSM, Riccati FSTMM features a smaller matrix and higher calculation efficiency, with no need for global stiffness matrix. In addition, by arranging uniformly distributed middle nodal lines inside strip elements, we developed the high order finite strip-Riccati transfer matrix method (Riccati HFSTMM) for buckling analysis of tree-branched cross-section thin-walled members. This method further improves the efficiency and accuracy of Riccati FSTMM. We tested the two proposed methods with two numerical examples, and demonstrated their superior reliability and efficiency over the finite element method (FEM).

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“…A finite element-based solution was proposed by Pandeya and Singhb [ 54 ] to survey the free vibrational behavior of a fixed–free nanobeam with a varying cross-section. According to the Eringen nonlocal theory and Euler–Bernoulli beam model, the nonlinear vibration of AFG nanobeams with a tapered section was exploited by Shafiei et al [ 55 ], and a semi-analytical finite strip procedure was implemented by Zhang et al [ 56 , 57 ] for the study of the stability capacity of bars with an open and closed cross-section under an axial loading condition [ 56 ], accounting for the effect of lateral elastic braces on the overall stability response in Ref. [ 57 ].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

et al. 2021

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This paper addresses the flexural–torsional stability of functionally graded (FG) nonlocal thin-walled beam-columns with a tapered I-section. The material composition is assumed to vary continuously in the longitudinal direction based on a power-law distribution. Possible small-scale effects are included within the formulation according to the Eringen nonlocal elasticity assumptions. The stability equations of the problem and the associated boundary conditions are derived based on the Vlasov thin-walled beam theory and energy method, accounting for the coupled interaction between axial and bending forces. The coupled equilibrium equations are solved numerically by means of the differential quadrature method (DQM) to determine the flexural–torsional buckling loads associated to the selected structural system. A parametric study is performed to check for the influence of some meaningful input parameters, such as the power-law index, the nonlocal parameter, the axial load eccentricity, the mode number and the tapering ratio, on the flexural–torsional buckling load of tapered thin-walled FG nanobeam-columns, whose results could be used as valid benchmarks for further computational validations of similar nanosystems.

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Buckling analysis of thin-walled members via semi-analytical finite strip transfer matrix method

Cited by 5 publications

References 42 publications

Numerical Prediction of Local Instability in Double Corrugated Profiles

Numerical Prediction of Local Instability in Double Corrugated Profiles

Finite strip-Riccati transfer matrix method for buckling analysis of tree-branched cross-section thin-walled members

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

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