Buckling of conical shells heated along a generator.

Bendavid, Dror; Singer, Josef

doi:10.2514/3.4287

Cited by 17 publications

(3 citation statements)

References 6 publications

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“…The literature on the investigation of thermoelastic buckling characteristics of conical shells is scarce [18][19][20][21][22][23][24]. This may be attributed to the inherent complexity of the basic equations in curvilinear circular conical coordinates that are a system of nonlinear partial differential equations with variable coefficients.…”

Section: Introductionmentioning

confidence: 99%

“…This may be attributed to the inherent complexity of the basic equations in curvilinear circular conical coordinates that are a system of nonlinear partial differential equations with variable coefficients. Bendavid and Singer [18] studied buckling of truncated isotropic conical shells heated along an axial strip using Rayleigh-Ritz method whereas Lu and Chang [19] and Chang and Lu [20] examined the thermoelastic buckling based on linear [19] and nonlinear [20] analyses employing Galerkin's method. The effects of the axisymmetric initial deflection [21] and internal pressure [22] are examined by Tani on the thermal buckling of shallow, truncated isotropic conical shells under uniform heating.…”

Section: Introductionmentioning

confidence: 99%

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Thermal Postbuckling Characteristics Of Angle-ply Laminated Truncated Circular Conical Shells

Patel

2023

joast

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Here, the nonlinear thermoelastic pre- and post-buckling characteristics of angle-ply laminated composite conical shells subjected to uniform temperature rise are studied using semi-analytical finite element approach. The finite element formulation is based on first-order shear deformation theory and field consistency principle. The nonlinear governing equations, considering geometric nonlinearity based on von Karman’s assumption for moderately large deformation, are solved using Newton-Raphson iteration procedure coupled with displace- ment control method to trace the prebuckling followed by postbuckling equilibrium path. The presence of asymmetric perturbation in the form of small magnitude load spatially proportional to the linear buckling mode shape is assumed to initiate the bifurcation of the shell deformation. The study is carried out to highlight the influences of semi-cone angle, ply-angles, number of layers and number of circumferential waves on the nonlinear prebuckling/postbuckling thermoelastic response of the laminated circular conical shells. The participation of axisymmetric and asymmetric modes in the total response of the shells is brought out through the deformation shape analysis.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal Postbuckling Characteristics Of Angle-ply Laminated Truncated Circular Conical Shells

Patel

2023

joast

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“…At the same time, for thin-walled shells operating at high temperatures, their buckling loads would be significantly reduced due to material degradation and thermal stresses caused by thermal loads. Early studies on conical and cylindrical shells subjected to thermal loads can be found in Refs Hoff (1957), Hill (1959), Bendavid and Singer (1967), Frum and Baruch (1976), Ross et al (1965Ross et al ( , 1966 and Smith (1964), which showed differences between theoretical calculations and experimental results. Therefore, Shen (2011) and Shen and Li (2002) investigated the effect of geometric imperfection on buckling behavior of composite cylindrical shells under axial compression and thermal loads by the analytical methods.…”

Section: Introductionmentioning

confidence: 99%

Adaptive step-size numerical vibration correlation technique for buckling prediction of thin-walled shells under axial compression and thermal loads

Huang

Xia

Gao

et al. 2022

MMMS

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PurposeThe purpose of this paper is to propose a numerical prediction method of buckling loads for shell structures under axial compression and thermal loads based on vibration correlation technique (VCT).Design/methodology/approachVCT is a non-destructive test method, and the numerical realization of its experimental process can become a promising buckling load prediction method, namely numerical VCT (NVCT). First, the derivation of the VCT formula for thin-walled structures under combined axial compression and thermal loads is presented. Then, on the basis of typical NVCT, an adaptive step-size NVCT (AS-NVCT) calculation scheme based on an adaptive increment control strategy is proposed. Finally, according to the independence of repeated frequency analysis, a concurrent computing framework of AS-NVCT is established to improve efficiency.FindingsFour analytical examples and one optimization example for imperfect conical-cylindrical shells are carried out. The buckling prediction results for AS-NVCT agree well with the test results, and the efficiency is significantly higher than that of typical numerical buckling methods.Originality/valueThe derivation of the VCT formula for thin-walled shells provides a theoretical basis for NVCT. The adaptive incremental control strategy realizes the adaptive adjustment of the loading step size and the maximum applied load of NVCT with Python script, thus establishing AS-NVCT.

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Thermal Buckling/Postbuckling Characteristics of Laminated Composite Shells

Patel

2014

Encyclopedia of Thermal Stresses

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Buckling of conical shells heated along a generator.

Cited by 17 publications

References 6 publications

Thermal Postbuckling Characteristics Of Angle-ply Laminated Truncated Circular Conical Shells

Thermal Postbuckling Characteristics Of Angle-ply Laminated Truncated Circular Conical Shells

Adaptive step-size numerical vibration correlation technique for buckling prediction of thin-walled shells under axial compression and thermal loads

Thermal Buckling/Postbuckling Characteristics of Laminated Composite Shells

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