A symmetric load-stiffness matrix for buckling analysis of shell structures under pressure loads

Iwata, K.; Tsukimori, Kazuyuki; Kubo, Fumiyo

doi:10.1016/0308-0161(91)90047-6

Cited by 12 publications

(8 citation statements)

References 3 publications

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“…It is worth clarifying that the Hessian matrix only regulates the convergence rate of the iterative solver. Moreover, Schwlizerhof and Ramm (1984) and Iwata et al (1991) also conclude that the antisymmetric part of Eq. (27) has a negligible effect on eigenvalues/eigenvectors determination.…”

Section: Non-conservative Load -Follower Pressurementioning

confidence: 89%

“…Equation 27contains both symmetric and antisymmetric parts to be added to matrix H . As mentioned by Schwlizerhof and Ramm (1984) and Iwata et al (1991) the antisymmetric part of H has negligible effect in the solution of the linear system of equations present in the non-linear solution strategy. It is worth clarifying that the Hessian matrix only regulates the convergence rate of the iterative solver.…”

Section: Non-conservative Load -Follower Pressurementioning

confidence: 98%

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A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

Soares

Paccola

Coda

2021

Lat. Am. j. solids struct.

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The importance of knowing critical loads and post-critical behavior of thin-walled structures motivates the development of several scientific and practical studies. Most references are concerned with stability analysis for small displacements (first order approach), or with second order stability analyzes, a less precise geometric nonlinear strategy. However, very flexible structures or ones that present small loss of stiffness after the first critical load need more careful analysis. Here we present a shell numerical formulation capable of carrying out stability analysis of thin-walled structures developing large displacements. This formulation uses generalized unconstrained vectors as nodal parameters instead of rotations. To make possible a complete stability analysis using unconstrained vectors, we present an original strategy that imposes a Conjugate Modal Force at the vicinity of critical points, allowing an accurate choice of post-critical paths. Non-conservative forces are also considered and results are compared with literature benchmarks, demonstrating the accuracy and capacity of the proposed formulation.

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Section: Non-conservative Load -Follower Pressurementioning

confidence: 89%

Section: Non-conservative Load -Follower Pressurementioning

confidence: 98%

A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

Soares

Paccola

Coda

2021

Lat. Am. j. solids struct.

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“…In the calculation of the bifurcation point of the curved surface structures subjected to the pressure load, the deformation dependent loads should be incorporated into numerical simulation by adding the load correction matrix to the stiffness matrix (Iwata, et al, 1991). However, in this chapter, the pressure loads are independent on the deformation, in order to set the loading conditions as equal as possible between the MITC4ts shell element and conventional shell elements.…”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…As a typical stability problem for the curved surface structures, a numerical investigation is conducted to calculate the buckling load of the circular pipe where the external pressure is applied, as shown in Fig. 4 (Timoshenko and Gere, 1961;Iwata, et al, 1991). In this example, we assume that the cylindrical pipe is long enough in the depth direction, and the plane strain condition can be satisfied in y direction.…”

Section: Pipe Under External Pressurementioning

confidence: 99%

“…We employ two types of mesh densities of 600 × 1 and 1, 200 × 1 elements in the circumferential and depth directions, respectively, with 10 layers for both the MITC4 and MITC4ts shell elements, and 2, 000 × 1 × 10 elements in the circumferential, depth, and thickness directions, respectively, for the hexahedral elements. As a reference, the analytical solution of the pressure load p (1) ac on the first critical point without considering the deformation dependent load (Iwata, et al, 1991) is…”

Section: Pipe Under External Pressurementioning

confidence: 99%

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Elastic buckling of cylindrical shell under pressure load evaluated on surface

Yamamoto

Yamada

2019

Mechanical Engineering Journal

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This paper presents a numerical procedure using shell element to evaluate the buckling behavior of the cylindrical structure subjected to pressure load. In numerical simulation for pressure vessels using conventional shell elements, the pressure loads imposed to both top and bottom surfaces are expressed as the difference between the internal and external pressures. In this work, the special shell element, in which the surface traction is exactly expressed at the surface, is applied to the buckling analysis. In this approach, the distribution of the transverse normal stress through the thickness can be evaluated. Therefore, the influence of the difference between the internal and the external pressures to the behavior of the buckling of the cylindrical shell structures can be assessed. In the situation that a perturbative load is applied under a certain stress state, bifurcation points are searched by solving a standard eigenvalue problem. Several numerical examples are presented to examine the effectiveness of the proposed approach. The buckling behavior that cannot be considered with the conventional shell elements can be observed by this approach.

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Recent achievements at PNC in the development of high temperature structural design methods for FBR components

Imazu¹,

Iwata²,

Wada³

et al. 1992

Nuclear Engineering and Design

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A symmetric load-stiffness matrix for buckling analysis of shell structures under pressure loads

Cited by 12 publications

References 3 publications

A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

Elastic buckling of cylindrical shell under pressure load evaluated on surface

Recent achievements at PNC in the development of high temperature structural design methods for FBR components

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