Optimal design of structures subjected to follower forces

Bogacz, R.; Irretier, H.; Mahrenholtz, O.

doi:10.1007/bf00536599

Cited by 8 publications

(5 citation statements)

References 7 publications

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“…By using the method of transfer matrices, a semi-analytical solution can in fact also be found if the cross-sections have just piecewise constant thickness [38]. Distributed elastic supports may also be included.…”

Section: Semi-analytical Solution Of the Boundary Value Problemmentioning

confidence: 99%

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Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Langthjem

Sugiyama

2000

Journal of Sound and Vibration

190

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Section: Semi-analytical Solution Of the Boundary Value Problemmentioning

confidence: 99%

“…Bogacz et al [38] considered volume minimization (formulation (46)) for stepped columns. Graphical solutions are given for columns with two segments.…”

Section: Further Renementsmentioning

confidence: 99%

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Langthjem

Sugiyama

2000

Journal of Sound and Vibration

190

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“…Dieser gewaltige Fortschritt gelang durch die Einfiihrung einer neuen Methode in die Grenzschichttheorie, niimlich durch die Anwendung der Theorie der Differential-Ungleichungen. Die Anregung dazu stammt von H. G~RTLEB [5], die erste weitgehende Anwendung gelang 1958 [7], also vor genau 25 Jahren. Seit diesem Zeitpunkt gibt es eine sehr p o l e Anzahl von Publikationen, die auf der Methode der Differential-Ungleichungen aufbauen.…”

Section: Man Kann Dies Auch So Ausdriicken : I M Rahmen Der Grenzschiunclassified

Hauptvorträge

1984

Z Angew Math Mech

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“…And once more, it will be a challenge to find dynamical solutions, distinguish stationary ones, and resolve the stability issue, cf. (Bogacz and Frischmuth, 2012;Bogacz et al, 1980Bogacz et al, , 2008Bogacz and Janiszewski, 1985;Preumont and Seto, 2008;Ringertz, 1994).…”

Section: Introductionmentioning

confidence: 99%

On problems with solution-dependent load

Bogacz

Frischmuth

2018

jtam

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In Continuum Physics, general balance problems between internal fluxes and external sources are considered, mostly on some domain Ω called a material body. Typically, the fluxes are determined by a wanted field -the solution or configuration of the body, possibly augmented by derivatives or other suitable quantities specifying the state of the system. In order to obtain a closed problem formulation, initial and boundary conditions need to be provided as well. In this paper, we discuss some issues appearing in the case that the sources, e.g. forces in a mechanical problem, are not known in advance, but related to the wanted configuration in terms of values and/or derivatives of the solution. An analogy between thermodynamic and mechanical problems is shown.

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Optimal design of structures subjected to follower forces

Cited by 8 publications

References 7 publications

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

Hauptvorträge

On problems with solution-dependent load

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