Some new applications of the theory of thin-walled bars

Obrębski, J.B.

doi:10.1016/b978-008043955-6/50034-3

Cited by 1 publication

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“…It can be shown in quoted references e.g. following books and papers: Jastrzejjski et al (1985,1986), Nowacki (1861Nowacki ( , 1974, Obrebski ( -2001, . Now we try to classify some of approaches, but are discussed only those, which are based on condition deX(K) = 0.…”

Section: Evaluation Of Critical Loading By Analytical Approachmentioning

confidence: 97%

“…The paper presents some author experiences concerning application of the uniform criterion to evaluate the geometrical changeability and instability of structures (Obrebski 1997a(Obrebski , 2000a(Obrebski , 2001. There was applied well known condition, that in both cases the main determinant of the structure equilibrium equations is equal zero.…”

Section: Introductionmentioning

confidence: 98%

“…The rigidity, deformations and capacity of such objects depend on the properties of the particular bar. Author has elaborated a fully original and effective complex theory for elastic bars, in the beginning thin-walled (TW) (Obrebski 1991) and next with any type of CSs: solid and TW -open, closed or open closed (Obrebski 1997c(Obrebski -2001. The prismatic bars with compact CS may be modelled as set of TW tubes (also composite ones) located one into the other.…”

Section: Introductionmentioning

confidence: 99%

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Applications of Uniform Criterion for Geometrical Unchangeability, Stability and Dynamic Stability of Structures

Obrębski¹

2002

Structural Stability and Dynamics

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As uniform criterion is here regarded value of main determinant of set of equilibrium equations of the considered problem. For analytical solutions of separate bar it will be considered one differential equilibrium equation as in Euler's problem or set of differential equilibrium equations -for dynamic, stability or dynamic stability. The same criterion in numerical approaches by means of Finite Differences Method or Finite Element Method is applied to main determinant of global stiffness matrix of considered structure. It was also used in programs for bar space structures for check the input data to programs whether the description of structure is correctly done... The method was tested numerically for many different problems. Moreover, some observations concerning strength analysis of composite bar structures are given.

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Section: Evaluation Of Critical Loading By Analytical Approachmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation