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8 articles for “Rayleigh-Ritz”
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Natural Frequency of Plate by Using Rayleigh Ritz Method with Varying Thickness and Thermal Effect
Abstract: Plate systems had been intensively used in a diffusion of engineering disciplines concerning civil engineering, aerospace, construction zone, nuclear flowers, electricity flora, marine engineering. It may additionally use for production of wings and tails of the plane, rockets and missiles etc. A through expertise of their vibrational characteristics in conjunction with specific thermal conditions is of extremely good significance to engineers and architects ensuring reliability in layout procedure. In this …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 28–33 Read article
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Experimental Investigation of Shaft Whirl Carrying 3 Rotors
Abstract: This paper deals with the study of whirling of shaft with three rotors. Natural frequency of the system is found by impact hammer test followed by identifying the speed at which whirling occurs in the system. Experimental results were verified by using Dunkerley's method for natural frequency. Rayleigh-Ritz equation is used to find out the critical speed of the shaft and hence to validate with experimental result.Keywords: Whirling, Natural frequency, …
Published in Trends in Mechanical Engineering & Technology · Vol. 5, Issue 2, 2015 · pp. 17–21 Read article
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Virtual Prototyping and Beam Optimization of Resonant Micro Pressure Sensors
Abstract: The overall performance of a resonant beam micro pressure sensor largely depends on the mechanical aspects of the beam. Mechanical features include the geometry of the micro beam, its support structure and position of the beam on the diaphragm. The aim of this paper is to virtually prototype and analyzes the characteristics of a resonant beam micro pressure sensor and optimizes the beam geometry in terms of linearity and sensitivity. …
Published in Recent Trends in Sensor Research & Technology · Vol. 1, Issue 3, 2014 · pp. 10–16 Read article
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Non-Homogeneous Effect on Vibration of Visco-Elastic Rectangular Plate Having Parabolically Varying Thickness in Both Directions
Abstract: At present the vibration theory has become significant in every sphere of applied sciences. In the advance time, the plates of variable thickness are widely used in civil, aeronautical, mechanical, electronics and marine structures like jet engines designing, space crafts, gas turbines, nuclear power projects etc. The effect of variation of non-homogeneity on vibration of visco-elastic rectangular plate with parabolically varying thickness in both directions is presented in this paper. …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 3, 2018 · pp. 31–45 Read article
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Vibration of visco-elastic parallelogram plate with linearly thickness variations in both directions
Abstract: An analysis for free transverse vibrations of visco-elastic parallelogram plate whose thickness varies linearly in both directions is presented. Using the separation of variables method and Rayleigh-Ritz technique with a two-term deflection function, the governing differential equation has been solve for vibration of visco-elastic parallelogram plate. For the visco-elastic case, the basic elastic and viscous elements are combined. The Kelvin model for visco-elasticity that is a combination of the elastic …
Published in Journal of Experimental & Applied Mechanics · Vol. 1, Issue 1, 2010 · pp. 28–49 Read article
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Thermal Effect on Frequencies of Non-homogeneous Trapezoidal Plate with Linearly Varying Thickness in One Direction and Linearly Varying Density in other Direction
Abstract: In this study thermal effect on vibrations of non homogeneous trapezoidal plate has been investigated whose thickness varies linearly in one direction and density varies linearly in other direction. Governing differential equation has been derived using classical plate theory. Rayleigh-Ritz method is applied to obtain the frequencies for the first two modes of vibration. Clamped-Simply supported-Clamped-Simply supported boundary condition is considered with two term deflection function. Effect of various plate …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 2-3, 2012 · pp. 25–37 Read article
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Thermal Gradient Effect on Frequencies of a Rectangular Plate of Varying Thickness in Both Directions
Abstract: An analysis and numerical results are presented for frequencies of rectangular plates of non-linear thickness variation in x-direction and linearly in y-direction with linearly temperature distribution on the basis of classical plate theory. An approximate but quiet convenient frequency equation is derived by using Rayleigh-Ritz technique with a two term deflection function. Effect of the thermal gradient together with taper constants on the natural frequencies of vibration a clamped rectangular …
Published in Journal of Experimental & Applied Mechanics · Vol. 4, Issue 1, 2013 · pp. 15–20 Read article
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Effect of Exponential Temperature Variation on Vibration of Orthotropic Rectangular Plate whose Thickness varies Parabolically in Both Directions
Abstract: A simple model presented here is to study the exponentially thermal effect on vibration of orthotropic rectangular plate having bi-direction parabolically varying thickness having clamped boundary conditions on all the four edges. Rayleigh Ritz method is used to evaluate the frequency parameter. The two-dimensional thickness variation is taken as the Cartesian product of parabolic variations along the two concurrent edges of the plate. Yet the method used for the solution …
Published in Journal of Experimental & Applied Mechanics · Vol. 4, Issue 2, 2013 · pp. 1–8 Read article