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Investigation of the Free Vibrations of Bar Elements with Variable Parameters Using the Direct Integration Method
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In this paper, the vibration analysis of a straight bar with arbitrary, continuously varying transverse stiffness and mass per unit length has been studied using the direct integration method based on analytical solutions of the appropriate differential equations.Abstract:
The vibration analysis of bar element systems with continuous variable parameters using the direct integration method is proposed. The method is based on analytical solutions of the appropriate differential equations. By using this method, the problem of free flexural vibrations of a straight bar with arbitrary, continuously varying transverse stiffness and mass per unit length is solved. Formulas in analytical form are derived for dynamic parameters of bar structures, and the procedure for their numerical implementation is presented. Free vibrations of a truncated cone and chimney with a variable wall thickness are studied.read more
Citations
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Taking into Account Material Damping in Seismic Analysis of Structures
Abstract: The purpose of this paper is to justify that it is necessary to take into account physical and mechanical properties of soil and different materials of erected structures for damping vibrations in dynamic loads, and to suggest tools for modelling the damping effect (natural or engineering induced) between foundation and soil. A technique is suggested for modelling the behavior of structure in time history analysis taking into account material damping. When solving this problem, the following results were obtained: the physical meaning of material damping was described; Rayleigh damping coefficients were computed through modal damping coefficients. Numerical analysis was carried out for the structure together with soil in earthquake load. Time history analysis was carried out for the problem. Peak values of displacement, speed and acceleration at the roof levels were compared. Analysis results were compared (with and without taking into account material damping). Significant influence of damping on the stress-strain state of the structure has been confirmed.
Journal ArticleDOI
Unified Flexural Resistance Design Method and Evaluation Frame for the B-Regions of RC Flexural Members—Theory and Application
TL;DR: In this article , a unified flexural resistance evaluation (UFRE) frame is proposed to compare different limit states directly and quantitatively, which cannot be realized by the load and resistance factor design (LRFD).
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Development of an analytical method for calculating beams on a variable elastic Winkler foundation
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Analytical and numerical studies of the stress-strain state of round plates on an elastic base with a variable bed coefficient
TL;DR: The results of the study of the stress-strain state of a circular plate of constant cylindrical stiffness lying on an elastic foundation with a variable coefficient of elastic resistance are presented in this paper.
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Specified Calculation of Steady-State Oscillations of Circular Transtropy Plates of Medium Thickness
TL;DR: In this paper, the steady-state oscillations of circular transtropy plates of medium thickness were performed, considering transverse displacement deformation and transverse compression effect, and the results were compared with corresponding results of Kirchhoff's thin plates.
References
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Book
Vibration problems in engineering
TL;DR: In this article, the Probleme dynamique and Vibration were used for propagation of ondes reference records created on 2004-09-07, modified on 2016-08-08.
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The lateral vibrations of bars of variable section
TL;DR: In this article, the authors present an analysis of the positions of the funda-mental nodes on a free-free bar, as dependent on the law of variation of its cross-section.
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The Lateral Vibrations of Bars of Variable Section
TL;DR: In this article, the authors present an analysis of the positions of the funda-mental nodes on a free-free bar, as dependent on the law of variation of its cross-section.
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Influence of the Local Surface Damage Parameters on the Natural Frequencies of Vibration of Structural Elements
TL;DR: In this article, the influence of local surface damage parameters on the natural frequencies of vibration of the beam model and a full-scale compressor rotor blade was investigated and regularities were established that determine the variation in the frequency of their first flexural vibration mode depending on the depth and width of the rectangular notch simulating the damage, and its location along the length of the object of investigation.