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The influence of thermal actions and complex support conditions on the mechanical state of sandwich structure

100%

Błaszczuk J. , Pozorski Z.

Journal of Applied Mathematics and Computational Mechanics

2013

tom Vol. 12, nr 4

13--21

The paper concerns the problem of the influence of thermal actions on the structural behavior of sandwich panels with unspecified elastic supports. An ordinary sandwich panel theory is used. The boundary conditions have the arbitrary form of elastic supports. The solution of a statically undetermined system with limitations of horizontal displacement and rotation is derived. The illustrative examples are presented and the problem solution is discussed.

Stability of an imperfect truss loaded by wind

100%

Krajewski M. , Iwicki P.

Engineering Transactions

2016

tom Vol. 64, iss. 4

509--516

The present paper is devoted to the numerical research of stability of a truss loaded by wind and stiffened by elastic supports located at the top chord. The lateral braces or lateral and torsional braces were taken into account. In this paper, the linear buckling analysis results for the beam and shell model were presented. Two different shapes of initial geometric imperfections were considered in the non-linear static analysis performed for the shell model of the structure. As a result, the truss buckling and the limit load were found to be related to the truss bracing stiffness and the threshold bracing condition, necessary to provide maximum buckling resistance of the truss, was obtained.

Large amplitude forced vibrations of restrained beams resting on elastic point supports

88%

Fakhreddine H. , Adri A. , Chajdi M. , Rifai S. , Benamar R.

tom Vol. 69, iss. 3

225--242

The present paper concerns the study of geometrically non-linear forced vibrations of beams resting on two different types of springs: rotational and translational. Assuming that the motion is harmonic, the displacement is extended as a series of spatial functions determined by solving the linear problem. Hamilton’s principle and spectral analysis are used to reduce the problem to a non-linear algebraic system solved using a previously developed approximate method. The effects of the nature of the added springs and their location on the non-linear behaviour of the beam are examined. A multimode approach is used in the forced case to obtain results over a wide range of vibration amplitudes. This leads to examining the non-linear forced dynamic response for different positions of each spring and different levels of excitations. Following a parametric study, the non-linear forced mode shapes and their associated bending moments are presented for different levels of excitations and for different vibration amplitudes to give an estimation of the stress distribution over the beam length.

Static response of thermally loaded sandwich beams with confined horizontal displacements of faces at the supports

75%

Pozorska J. , Pozorski Z.

2014

tom Vol. 13, nr 2

119--126

The paper examines the problem of the influence of restrictions on freedom of horizontal displacements in thermally loaded sandwich beams. The classical theory of sandwich beams and panels with thin facings and a soft core has been applied. It was assumed that the cross-section of the beam could be asymmetric geometrically and materially. The beam has vertical supports and additional horizontal supports limiting the freedom of horizontal displacements. The supports are linearly elastic and the rigidity of the upper and lower support can be arbitrary. The static problem of single-span beam with support conditions identical at both ends of the beam was solved in the paper. Each of the sandwich facings has been subjected to temperature change. The derived formulas were used in the example illustrating the importance of the problem.

Influence of elastic support on the eigenvalues of stepped columns

63%

Obara P. , Nowak E. , Nowak K.

Structure and Environment

2014

tom Vol. 6, no. 3

12--18

The paper analyses the influence of the stiffness of the elastic support of the stepped column on the natural vibration frequency and the critical load values. The exact stability analysis and dynamic analysis using a continuous mass distribution were carried out. The safe areas and the natural frequency for different column support conditions were determined.