Finite element analysis of smooth, folded and multi-shell structures

Chróścielewski, Jacek; Makowski, Jerzy; Stumpf, H.

doi:10.1016/s0045-7825(96)01046-8

Cited by 77 publications

(79 citation statements)

References 37 publications

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“…When strains in the shell space are small, then we can apply the linear constitutive equations proposed in [22,23] which are extensions of the classical constitutive equations based on the consistent first approximation theory:…”

Section: Notation and Exact Relations For Regular Shellsmentioning

confidence: 99%

“…Such a general shell model having the structure of the classical Cosserat surface [16][17][18][19][20][21] comprises all other simplified shell models as special cases. For this general nonlinear shell model efficient finite element algorithms and computer programs were developed and several test examples of equilibrium, stability and dynamics of complex shell structures were solved [15,[22][23][24][25].…”

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confidence: 99%

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The Nonlinear Theory of Elastic Shells with Phase Transitions

Eremeyev

Pietraszkiewicz

2004

Journal of Elasticity

108

122

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Section: Notation and Exact Relations For Regular Shellsmentioning

confidence: 99%

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confidence: 99%

The Nonlinear Theory of Elastic Shells with Phase Transitions

Eremeyev

Pietraszkiewicz

2004

Journal of Elasticity

108

122

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“…Control of nonlinear dynamic problems. Figure 5 shows a convergence study for the first eigenfrequency of the ring shell, where the structure was discretized using CAM shell elements of C 0 -class (see Chróścielewski, Makowski, and Stumpf [112][113][114][115]), and C 1 -class beam finite elements (LUK), respectively, described in Chapter 3. In Table 2, results for the first eight eigenfrequencies are given using a 4 × 50 mesh of 16-node C 0 -class CAM shell elements with full integration (FI, 4 × 4 integration points), and 100 2-node C 1 -class beam finite elements.…”

Section: Laminated Semicircular Ring Shellmentioning

confidence: 99%

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Chróścielewski

Schmidt

Eremeyev

2018

Continuum Mech. Thermodyn.

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This paper addresses modeling and finite element analysis of the transient large-amplitude vibration response of thin rod-type structures (e.g., plane curved beams, arches, ring shells) and its control by integrated piezoelectric layers. A geometrically nonlinear finite beam element for the analysis of piezolaminated structures is developed that is based on the Bernoulli hypothesis and the assumptions of small strains and finite rotations of the normal. The finite element model can be applied to static, stability, and transient analysis of smart structures consisting of a master structure and integrated piezoelectric actuator layers or patches attached to the upper and lower surfaces. Two problems are studied extensively: (i) FE analyses of a clamped semicircular ring shell that has been used as a benchmark problem for linear vibration control in several recent papers are critically reviewed and extended to account for the effects of structural nonlinearity and (ii) a smart circular arch subjected to a hydrostatic pressure load is investigated statically and dynamically in order to study the shift of bifurcation and limit points, eigenfrequencies, and eigenvectors, as well as vibration control for loading conditions which may lead to dynamic loss of stability.

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“…This variant of the shell and plate theories based on the direct approach is developed and continued, for example, in [75,80,81,236,237,285,286,[327][328][329][330]. It must be noted that this variant is very similar to the one presented within the general nonlinear theory of shells discussed in the monographs of Libai and Simmonds [183], and Chróścielewski et al [44], see also [41][42][43][76][77][78]162,182,189,[191][192][193]243,247,248,288,289]. The two-dimensional equilibrium equations given in [44,183,243] one gets by the exact integration over the thickness of the equations of motion of a shell-like body.…”

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confidence: 99%