The Experts below are selected from a list of 861 Experts worldwide ranked by ideXlab platform
Michal Osadnik - One of the best experts on this subject based on the ideXlab platform.
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the non linear vibrations of Simply Supported Column loaded by the mass element
Applied Mathematical Modelling, 2021Co-Authors: Sebastian Uzny, łukasz Kutrowski, Michal OsadnikAbstract:Abstract The stability and free vibrations of slender support systems were the subject of many scientific and research works. This paper presents the boundary problem of Column vibrations in which the longitudinal inertia of the mass element, which loads the slender system, is taken into account. The Column was analysed as a Simply Supported structure. The formulation of boundary problem was carried out by using kinetic criterion of stability. Taking into consideration the load from longitudinal inertia of mass element in the mathematical model makes the system non-linear. The non-linear components of the mathematical model were expanded into a power series of a small parameter. Numerical calculations allowed determination of the influence of the Column oscillations amplitude on the non-linear component of the natural frequency of the system. It has been shown that in supporting systems loaded by a mass element, the vibrations amplitude considerably affect natural frequency at appropriately selected parameters of the system. Also experimental verification of the adopted mathematical model was carried out, which showed good agreement between numerical and experimental studies.
O G Privalova - One of the best experts on this subject based on the ideXlab platform.
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the lagrange problem on an optimal Column old and new results
Structural and Multidisciplinary Optimization, 2003Co-Authors: Alexander P. Seyranian, O G PrivalovaAbstract:The paper is devoted to the optimization and post-buckling behavior of Columns elastically Supported at both ends. The unimodal solutions are analyzed, and it is shown that for nonzero support stiffnesses they are not optimal. The bimodal formulation of the problem is set up. By using analytical expressions for bimodal Columns obtained earlier, the bimodal optimal solutions are integrated for different values of the support stiffnesses. With the assumption of geometrical nonlinearity, the post-buckling behavior of the bimodal optimal Columns is studied. It is shown that the initial post-buckling behavior is governed by four supercritical solutions emanating from the trivial equilibrium state at the critical load. The stability of the new equilibrium states is investigated by using the second variation of the total potential energy. It is shown that only two post-buckling equilibrium states are stable while the other two are unstable, this conclusion being valid for all considered values of the support stiffnesses. An important limit case of a clamped---Simply Supported Column that has caused debate in many publications is analyzed.
Videnic Tomaž - One of the best experts on this subject based on the ideXlab platform.
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geometry optimization in buckling of a shape memory alloy Column due to constrained recovery
Journal of Intelligent Material Systems and Structures, 2012Co-Authors: Kunavar Janez, Kosel Franc, Puksic Andrej, Videnic TomažAbstract:Constrained recovery of a compressively prestrained shape memory alloy (SMA) is experimentally and theoretically investigated. Thermomechanical properties of the SMA during the process of constrained recovery are experimentally obtained. Optimization of geometry in buckling of an ideally straight, Simply Supported Column with a nonconstant cross section due to constrained recovery is theoretically investigated. Using the experimentally obtained thermomechanical properties, the critical buckling force and temperature of the optimized Column are calculated. Various experiments were conducted in order to verify the calculated results. The calculated critical load and predicted buckling temperatures show good agreement with buckling experiments reported in this article.
Sebastian Uzny - One of the best experts on this subject based on the ideXlab platform.
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the non linear vibrations of Simply Supported Column loaded by the mass element
Applied Mathematical Modelling, 2021Co-Authors: Sebastian Uzny, łukasz Kutrowski, Michal OsadnikAbstract:Abstract The stability and free vibrations of slender support systems were the subject of many scientific and research works. This paper presents the boundary problem of Column vibrations in which the longitudinal inertia of the mass element, which loads the slender system, is taken into account. The Column was analysed as a Simply Supported structure. The formulation of boundary problem was carried out by using kinetic criterion of stability. Taking into consideration the load from longitudinal inertia of mass element in the mathematical model makes the system non-linear. The non-linear components of the mathematical model were expanded into a power series of a small parameter. Numerical calculations allowed determination of the influence of the Column oscillations amplitude on the non-linear component of the natural frequency of the system. It has been shown that in supporting systems loaded by a mass element, the vibrations amplitude considerably affect natural frequency at appropriately selected parameters of the system. Also experimental verification of the adopted mathematical model was carried out, which showed good agreement between numerical and experimental studies.
Alexander P. Seyranian - One of the best experts on this subject based on the ideXlab platform.
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the lagrange problem on an optimal Column old and new results
Structural and Multidisciplinary Optimization, 2003Co-Authors: Alexander P. Seyranian, O G PrivalovaAbstract:The paper is devoted to the optimization and post-buckling behavior of Columns elastically Supported at both ends. The unimodal solutions are analyzed, and it is shown that for nonzero support stiffnesses they are not optimal. The bimodal formulation of the problem is set up. By using analytical expressions for bimodal Columns obtained earlier, the bimodal optimal solutions are integrated for different values of the support stiffnesses. With the assumption of geometrical nonlinearity, the post-buckling behavior of the bimodal optimal Columns is studied. It is shown that the initial post-buckling behavior is governed by four supercritical solutions emanating from the trivial equilibrium state at the critical load. The stability of the new equilibrium states is investigated by using the second variation of the total potential energy. It is shown that only two post-buckling equilibrium states are stable while the other two are unstable, this conclusion being valid for all considered values of the support stiffnesses. An important limit case of a clamped---Simply Supported Column that has caused debate in many publications is analyzed.