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EN
This article presents an analysis of forced vibrations of a homogeneous cantilever beam using a vision method. Based on measurements, displacements of defined beam points have been determined as a function of time in directions perpendicular to and along the beam axis together with the trajectory of these points in the plane of the beam transverse vibrations. A model describing the displacement of the beam with a moving holder (kinematic excitation) is presented along with formulas defining motion of points in the plane of the beam transverse vibrations, which have been verified experimentally by recording beam vibrations using a specialised vision system.
EN
The article presents the result of the implementation of innovative design solutions techniques during the construction of the building of the “WORLD CLASS” Fitness Club in Minsk with usage of the performance-based approach. Proposed design solution of building include the composite structures (plane frames consists of steel-concrete columns and delta-beam), prestressed hollow core slabs. The cantilever parts of the building were designed as a complex post-tensioned monolitic structure, including cantilever beams and slabs with a maximum length of 12 m, monolitic walls and pylons. The example of performance criteria verification (structural serviceability) with usage different methods presents.
4
Content available remote Vibrations of a cantilever beam loaded by nonlinear friction force at the free end
75%
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tom Vol. 21
353--356
EN
This paper presents an analysis of dynamic characteristics of a cantilever beam with a magnetorheological (MR) fluid. The beam consists of two aluminium outer layers and MR fluid layer placed between them. Due to MR fluid control capabilities both damping and stiffness of the beam can be changed simultaneously. The simple model of three-layered structure is assumed. Vibration characteristics of the beam are predicted for various magnetic field strength and a simple control algorithm based on switching of the beam stiffness is proposed. The results of calculations illustrate the vibration control capabilities of the MR adaptive beam at various level of magnetic strength.
PL
W pracy przedstawiono analizę własności dynamicznych belki z cieczą magnetoreologiczną (MR). Belka składa się z trzech warstw. Dwie zewnętrzne warstwy wykonano z aluminium, a przestrzeń pomiędzy nimi wypełniono cieczą MR. Sztywność i tłumienność belki można zmieniać dzięki zależnym od pola magnetycznego własnościom cieczy. Do obliczeń przyjęto prosty model belki trójwarstwowej. Wyznaczono podstawowe charakterystyki dynamiczne belki dla różnych wartości natężenia pola magnetycznego. Otrzymane wyniki potwierdzają możliwości sterowania drganiami belek zawierających warstwę cieczy MR.
EN
Purpose: The operation of engineering structures may cause various type of damages like cracks, alterations. Such kind of defects can lead to change in vibration characteristics of cantilever beam. The superposition of frequency causes resonance leading to amplitude built up and failure of beam. The current research investigates the effect of crack dimensional parameters on vibrational characteristics of cantilever beam. Design/methodology/approach: The CAD design and FE simulation studies are conducted in ANSYS 20 simulation package. The natural frequencies, mode shapes and response surface plots are generated, and comparative studies are performed. The effect of crack dimensional parameters is then investigated using Taguchi Design of Experiments. The statistical method of central composite design (CCD) scheme in Response Surface Optimization is used to generated various design points based on variation of crack width and crack depth. Findings: The research findings have shown that crack depth or crack height have significant effect on magnitude of deformation and natural frequency. The deformation is minimum at 0.009 m crack height and reaches maximum value at 0.011 m crack height. Research limitations/implications: The crack induced in the cantilever beam needs to be repaired properly in order to avoid crack propagation due to resonance. The present study enabled to determine frequencies of external excitation which should be avoided. The limitation of current research is the type of crack studied which is transverse type. The effect of longitudinal cracks on vibration characteristics is not investigated. Practical implications: The study on mass participation factor has shown maximum value for torsional frequency which signifies that any external excitation along this direction should be avoided which could cause resonance and lead to amplitude build up. Originality/value: The beams are used in bridge girders and other civil structures which are continuously exposed to moist climate. The moisture present in the air causes corrosion which initiates crack. This crack propagates and alters the natural frequency of beam.
EN
The subject of the paper is vibration control of a cantilever beam with magnetorheological (MR) fluid. Based on the results of identification and energy analysis, a control algorithm for free vibrations damping of the beam was proposed. The algorithm was realized by controlling the current supplying the electromagnet. The free vibrations of beam were investigated for constant current and current varied according to the assumed control algorithm.
EN
Two fundamental challenges in investigation of nonlinear behavior of cantilever beam are the reliability of developed theory in facing with the reality and selecting the proper assumptions for solving the theory-provided equation. In this study, one of the most applicable theory and assumption for analyzing the nonlinear behavior of the cantilever beam is examined analytically and experimentally. The theory is concerned with the slender inextensible cantilever beam with large deformation nonlinearity, and the assumption is using the first-mode discretization in dealing with the partial differential equation provided by the theory. In the analytical study, firstly the equation of motion is derived based on the theory of large deformable inextensible beam. Then, the partial differential equation of motion is discretized using the Galerkin method via the assumption of the first mode. An exact solution to the obtained nonlinear ordinary differential equation is developed, because the available semi analytical and approximated methods, due to their limitations, are not always sufficiently reliable. Finally, an experiment set-up is developed to measure the nonlinear frequency of oscillations of an aluminum beam within a domain of initial displacement. The results show that the proposed analytical method has excellent convergence with experimental data.
10
Content available remote Modal analysis of vibrating structures impregnated with crack
63%
EN
In the current investigation a dynamic analysis of the cracked cantilever beam is carried out. Local flexibility is being introduced due to the presence of a crack in the structural member that affects its dynamic response. For finding out the deviation in mode shapes and natural frequencies of the cracked cantilever beam the local stiffness matrices are taken into account. Theoretical expressions have been developed to calculate the natural frequencies and mode shapes of the cracked cantilever beam using local stiffness matrices. The strain energy release rate has been used for calculating the local stiffnesses of the beam. Suitable boundary conditions are taken into account at the crack location. Comparisons made between the numerical results and the corresponding experimental results show very good agreement and authenticate the theory developed.
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