B. H. Valerga de Greco’s scientific contributions

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Publications (5)


Numerical experiments on free and forced vibrations of beams of non-uniform cross-section
  • Article

February 1988

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10 Reads

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37 Citations

Journal of Sound and Vibration

P.A.A. Laura

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B. Valerga de Greco

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J.C. Utjes

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The objective of this paper is to obtain an approximate solution of the title problem by using Rayleigh's optimization technique when the mechanical system, and its excitation in the case where it is subject to a p0 cos ωt-type loading, is symmetric. It is shown that if one takes into account the symmetry of the system the calculated eigenvalues are, in general, more accurate than those which would result if the complete structural system were analyzed. It is also assumed that the beam is subject to an axial force and results for the buckling problem are also presented. The analytically determined eigenvalues are compared with values calculated by using the finite element method in several instances.



In-plane vibrations of frames carrying concentrated masses

September 1987

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9 Reads

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24 Citations

Journal of Sound and Vibration

This paper deals with the determination of the fundamental frequency of vibration (antisymmetric mode) of a frame elastically restrained against translation and rotation at the ends, carrying concentrated masses. It is assumed that the structural configuration under study is symmetrical. Classical beam theory is employed and the frequency equation is generated by means of the Rayleigh-Ritz method and simple polynomial co-ordinate functions in order to represent the displacement field. An unknown parameter γ is included in the polynomials and this allows for optimization of the frequency coefficient by minimizing it with respect to γ.



Citations (4)


... In another study, Filipich et al. [3]determined the fundamental frequency of vibration of a frame elastically restrained against translation and rotation at the ends, carrying concentrated masses by using the Rayleigh-Ritz method. Filipich et al. [4] dealt with the analysis of the first symmetric mode of vibration of a generally restrained frame with non-prismatic members carrying concentrated masses. ...

Reference:

Free vibration of a generalized plane frame
A note on the analysis of symmetric mode of vibrations of portal frames
  • Citing Article
  • August 1987

Journal of Sound and Vibration

... Having employed different methods such as theoretical, numerical, and experimental ones, many interested researchers intended to study the dynamic behavior of the rings [5][6][7][8][9][10][11]. In order to obtain more accurate results and to better simulate the actual operational conditions, researchers have considered many various assumptions in deriving of equation of motion such as transverse shear strain, rotatory inertia, warping, nonuniform cross-section and different boundary conditions [12][13][14][15][16][17][18][19][20]. Moreover, dynamic behavior as well as the stability of rotating rings has been studied in different rotation conditions in the following references [2,3]. ...

Numerical experiments on in-plane vibrations of rings of non-uniform cross-section
  • Citing Article
  • October 1987

Journal of Sound and Vibration

... Lot of research on dynamic behaviour of non -prismatic / non -uniform beams was carried out by previous researchers [1][2][3][4][5][6]. Improved formulation for free vibration of thin -walled tapered beams was proposed by researchers Kim and Kim [7]. ...

Numerical experiments on free and forced vibrations of beams of non-uniform cross-section
  • Citing Article
  • February 1988

Journal of Sound and Vibration

... This is why the study of the vibration properties of frame structures continues to be a subject of significant interest among scholars. [1][2][3][4] In the analysis of vibration characteristics of plane frames, the primary theories employed are based on either the Euler-Bernoulli beam model or the Timoshenko beam model. Over the last two decades, considerable progress has been made in the study of vibration characteristics of plane frames, resulting in the development of a diverse array of computational methods. ...

In-plane vibrations of frames carrying concentrated masses
  • Citing Article
  • September 1987

Journal of Sound and Vibration