Papers by Keyword: Geometrical Nonlinearity

Abstract: The paper deals with the calculation of the load carrying capacity of the steel arch reinforcements of underground and mine works with respect to the resulting large displacement and physical nonlinearities. Solution is based on the application of the so-called effective bending stiffness, which is defined as a function of the axial force and bending moment. The numerical model was verified using the values of the load carrying capacity, which have been experimentally obtained using strain-stress test, and implemented into the software that allows very effectively calculate load carrying capacity of steel arch reinforcements.

Abstract: Stress and strain state of hybrid (combined) systems including flexible and rigid elements is studied in the article. Theoretical approach is presented. The feature of the systems studied is described, i.e. structural nonlinearity. Numerical analysis is presented. It is pointed out that vibrations of such structures upon conditions of resonance differ from those of classical bar structures, i.e. if for rigid bar systems the amplitudes of vibration at resonant disturbance increase monotonously, in combined (hybrid) system alternate switching off tie-bars stabilizes the amplitude of vibration at a certain value and transfers vibrations in the beating mode that can be considered as an internal vibration absorber.

Abstract: This paper studies the effect of lamination and fiber orientation on the geometrically nonlinear dynamic response of debonded regions in walls strengthened with FRP. The paper adopts an analytical/numerical approach and uses a specially tailored finite element formulation for the layered structure. By means of this analytical/numerical tool, two strengthening layouts for a wall segment subjected to a dynamic shear loading are compared. In the first layout, the fibers are oriented along the width and height of the segment and in the second one, they are oriented along its diagonals. The analysis reveals that the two layouts are involved with significantly different critical points and significantly different dynamic post-buckling behaviors. Specifically, it shows that the diagonal layout, which better serves the shear loading scenario, is involved with a much smaller critical displacement and a dynamic post-buckling behavior that is governed by the stiffer compressed and tensed diagonals.

Abstract: Considered small oscillations geometrically nonlinear shallow shell of revolution relative to the initial deformed state. Orthotropic material model is considered. Research methodology based on the finite element method is developed.

Abstract: Considered small oscillations geometrically nonlinear shallow shell of revolution relative to the initial deformed state. Isotropic material model is considered. Problem is solved by mixed finite element method. Results of solution of test task are represented.

Abstract: Geometrically nonlinear model and numerical solutions of large deformation of imperfect functionally graded materials conical shell subjected to both mechanical load and transversely non-uniform temperature rise are given. The material properties of functionally graded shell are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. On the basis of geometrically nonlinear theory of shell, governing equations of the axi-symmetrical deformation are derived. Numerical solutions are obtained by using a shooting method.

Abstract: A numerical method for mixed finite-element formulation shallow shells of revolution is developed. Orthotropic material model is considered. Final equations are derived by the Galerkin’s method. Results of solution of test task are represented. Results precision and convergence are analyzed.

Abstract: The computation method for shallow shell of revolution in mixed finite-element formulation is developed. Final equations are constructed by the Galerkin method. Results of solution of test task are represented. Precision and convergence of results is analyzed.

Abstract: With the rapid development of the Chinese railway in recent years, the construction of so many large railway stations are needed. Because the roof and the canopy should be convenient for the passengers and goods to get through, the column spacing and span is large. In order to achieve the functional and aesthetic requirements of the railway stations, the dendritic column is developed. Dendritic structure is the building structure which is designed by the principle of zoology and undertaking force of tree among nature. It has particular appreciation and practicability. In order to determine the critical load and buckling behavior of the dendritic column from stable balance to unstable balance condition, the finite element model is established by the finite element analysis program ANSYS. And the linear overall stability, geometrical nonlinear overall stability, geometrical and material nonlinear overall stability were studied. Through changing such factors as the stiffness ratio and the height ratio between the trunk and the branch, span to height ratio of branch, etc., the authors further studied the nonlinear stability behavior of this new type structure. It is showed that the ultimate bearing capacity of the Y-shape column is high. And we got the conclusion that how these three parameters influence the ultimate bearing capacity of the dendritic column. And the results can offer reference for the design of the dendritic column. Your manuscript will be reduced by approximately 20% by the publisher. Please keep this in mind when designing your figures and tables etc.

Abstract: Recently, Youssef developed the fractional order generalized thermoelasticity (FOGTE) in the context of extended thermoelasticity (ETE). In this work, we extended the concept of fractional calculus into the temperature rate dependent thermoelasticity (TRDTE) and introduced the unified form of the two cases. Upon introducing the electromagnetic field with magnetic monopoles and considering the geometrical nonlinearity, we proposed a fractional order generalized electro-magneto- thermo-elasticity (FOGEMm-poleTEg-non) with magnetic monopoles (m-pole) and geometrical nonlinearity (g-non). To deal with multi-physics problems using numerical methods, we obtained a generalized variational theorem by using the semi-inverse method.