Multi-parametric stability investigation for thin spherical membranes with contacts

Zhou, Yang; Nordmark, Arne; Eriksson, Anders

doi:10.1016/j.ijmecsci.2017.07.011

Cited by 5 publications

(2 citation statements)

References 36 publications

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“…The stability of thin membrane structures considering fluid and/or gas filling based on the equations in section 4.2 is discussed in a series of papers. [63][64][65][66] A particular emphasis is on bifurcations and various post-buckling resp. post-bifurcation pathes.…”

Section: 32mentioning

confidence: 99%

Some remarks on load modeling in nonlinear structural analysis–Statics with large deformations–Consistent treatment of follower load effects and load control

Schweizerhof,

Konyukhov

2024

Numerical Meth Engineering

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Load modeling in nonlinear statics, particularly incorporating large deformations differs significantly from the treatment in linear analysis. As in structural dynamics masses in a gravity field generate the loading, their location, and their modifications within the deformation process must be considered in a nonlinear simulation. A specific view besides loading by masses is on gas and fluid interaction with structures. In addition, load control using specifically designed algorithms is evaluated with respect to realistic applications. Within the load modeling an unavoidable, however side aspect, is the general discussion about the so‐called follower forces and non‐conservative loading. As an example of real‐world applications, the specifics of inflated rubber dams are presented.

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Section: 32mentioning

confidence: 99%

Some remarks on load modeling in nonlinear structural analysis–Statics with large deformations–Consistent treatment of follower load effects and load control

Schweizerhof,

Konyukhov

2024

Numerical Meth Engineering

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“…Including contact forces adds additional nonlinearities into the system. Contact studies for inflated membranes have been limited primarily to contact with a flat substrate [23–26] or a small indenter [27–30], and the associated instability behaviour is limited to symmetric configurations [31].…”

Section: Introductionmentioning

confidence: 99%

Indentation and bifurcation of inflated membranes

et al. 2021

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We study pneumatically inflated membranes indented by rigid indenters of different sizes and shapes. When the volume of the inflated membrane is beyond a critical value, a symmetric deformation mode becomes unstable and the system follows a path of asymmetric deformation. This bifurcation is analysed analytically for a two-dimensional membrane with either a line or plane indenter for which the stable deformation path is determined by computing the total system potential energy of different configurations. An axisymmetric membrane with indenters of different shapes and sizes is further investigated numerically. In this case, a cylindrical indenter can always trigger bifurcation while a small spherical indenter tends to be encapsulated rather than induce an asymmetric deformation mode. This result suggests that the observed bifurcation behaviour can be actively tuned and even triggered selectively by tuning indenter shape and size. We also demonstrate the effects of friction and biased bifurcation analytically through the example of a two-dimensional membrane with a line indenter.

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Ballistic response of an airbag with parallel ribs under spherical projectile impact

Bai,

Qi,

Xie

et al. 2025

Composite Structures

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Multi-parametric stability investigation for thin spherical membranes with contacts

Cited by 5 publications

References 36 publications

Some remarks on load modeling in nonlinear structural analysis–Statics with large deformations–Consistent treatment of follower load effects and load control

Some remarks on load modeling in nonlinear structural analysis–Statics with large deformations–Consistent treatment of follower load effects and load control

Indentation and bifurcation of inflated membranes

Ballistic response of an airbag with parallel ribs under spherical projectile impact

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