Time period of transverse vibration of skew plate with parabolic temperature variation

2020 ◽  
pp. 107754632092688
Author(s):  
Reeta Bhardwaj ◽  
Naveen Mani ◽  
Amit Sharma
Keyword(s):  
Temperature Variation ◽  
Transverse Vibration ◽  
Two Dimensions ◽  
Thickness Variation ◽  
Time Period ◽  
Skew Plate ◽  
Edge Conditions ◽  
Convergence Study ◽  
Published Result ◽  
Natural Transverse

Time period of natural transverse vibration of a nonhomogeneous skew (parallelogram) plate with variable thickness and temperature field has been investigated on clamped CCCC and combination of clamped and simply supported CSCS edge conditions. The thickness variation on the plate is assumed to be linear in two dimensions, and the temperature variation on the plate is considered to be parabolic in two dimensions. For nonhomogeneity, authors considered circular variation in density. The Rayleigh–Ritz technique is applied to solve the differential equation of motion. A comparative analysis of frequency modes of the present study with the available published result is also given to support the present findings. The convergence study of obtained results is also presented with the help of figures.

FREE VIBRATION ANALYSIS OF DISCRETELY STIFFENED SKEW PLATES

2001 ◽  
Vol 01 (01) ◽  
pp. 125-144 ◽  
Author(s):  
HUAN ZENG ◽  
CHARLES W. BERT
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Natural Frequencies ◽  
Ritz Method ◽  
Free Vibration Analysis ◽  
Vibration Characteristics ◽  
Skew Angle ◽  
Various Boundary Conditions ◽  
Skew Plate ◽  
Convergence Study

Stiffened skew plates find application in various engineering fields. The free vibration characteristics of such plates have been studied by various methods. An orthogonally stiffened skew plate is a skew plate with stiffeners running orthogonal to two opposite edges. To the best knowledge of the present investigators, no previous work has been done for free vibration characteristics of skew plates of such stiffening geometry. The present work studies the free vibration of such plates. The pb-2 Rayleigh–Ritz method was employed due to its accuracy and computational efficiency. The conventional finite element method was also used as a comparative check. A convergence study was first performed for various boundary conditions. Then the vibration of orthogonally stiffened skew plates with different boundary conditions was studied. Close agreement was found between these two methods. The variations of natural frequencies with different parameters, including skew angle ϕ, edge ratio b/a, and height-thickness ratio f/h, were investigated for three types of boundary conditions.

Splines in vibration analysis of non-homogeneous circular plates of quadratic thickness

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Robin Singh ◽  
Neeraj Dhiman ◽  
Mohammad Tamsir
Keyword(s):  
Radial Direction ◽  
Outer Edge ◽  
Thickness Variation ◽  
Circular Plates ◽  
Plate Material ◽  
Quintic Spline ◽  
Simply Supported ◽  
Edge Conditions ◽  
Modes Of Vibration ◽  
First Time

Abstract Mathematical model to account for non-homogeneity of plate material is designed, keeping in mind all the physical aspects, and analyzed by applying quintic spline technique for the first time. This method has been applied earlier for other geometry of plates which shows its utility. Accuracy and versatility of the technique are established by comparing with the well-known existing results. Effect of quadratic thickness variation, an exponential variation of non-homogeneity in the radial direction, and variation in density; for the three different outer edge conditions namely clamped, simply supported and free have been computed using MATLAB for the first three modes of vibration. For all the three edge conditions, normalized transverse displacements for a specific plate have been presented which shows the shiftness of nodal radii with the effect of taperness.

scholarly journals Relation between integral effect of sub-surface temperature variation (<i>I</i>) and seismic effects

2009 ◽  
Vol 9 (6) ◽  
pp. 1815-1821
Author(s):  
H. Jalal Kamali ◽  
A. A. Bidokhti ◽  
H. Amiri
Keyword(s):  
Temperature Variation ◽  
Thermal Structure ◽  
Effect Of Temperature ◽  
Time Period ◽  
Before And After ◽  
Integral Effect ◽  
Weather Stations ◽  
One Year ◽  
Recent Earthquakes ◽  
Surface Temperature Variation

Abstract. There will be a change in the Earth's local sub-surface thermal structure before and/or after an earthquake. In this work we have introduced a new parameter (I) which relates integral effect of temperature variation and seismic activity. This parameter in its various forms integrates the temperature variations during one year before and after earthquake. Some recent earthquakes are chosen throughout Iran on Alps-Himalayas fault zone with magnitudes 4.5 and more. Subsurface temperatures up to one meter depth measured in nearby weather stations are used as there is no deeper data available. We found the new defined parameter (I) has a direct relation with earthquakes magnitude (M) and reverse relation with distance (d) between earthquake focus and station in which temperature is measured. Suitable formulas for these relations are suggested regarding the magnitude ranges and time period with respect to the earthquake time. There may be a way to use this new parameter as a quake precursor.

scholarly journals VERA-CS VALIDATION OF CRITICAL EXPERIMENTS

2021 ◽  
Vol 247 ◽  
pp. 10014
Author(s):  
Vincent Novellino ◽  
Scott Palmtag
Keyword(s):  
Standard Deviation ◽  
Neutron Transport ◽  
Two Dimensions ◽  
Light Water Reactors ◽  
Light Water ◽  
Critical Loading ◽  
The Core ◽  
Convergence Study ◽  
Water Reactors ◽  
Mesh Convergence

VERA is a suite of multiphysics codes which uses MPACT to model neutron transport in light water reactors (LWRs) [1]. In this paper, we validate MPACT by modeling critical experiments conducted at the IPEN/MB-01 and B&W facilities. We modeled critical loading experiments with a variety of different fuel pins and materials placed in the core. The experiments were modeled in two dimensions using MPACT and an axial buckling term. Default mesh parameters exist in MPACT for modeling larger reactor cores, and a mesh convergence study was performed to find appropriate mesh parameters for modeling the smaller critical reactors. The keff results show a consistent bias and small standard deviation for the IPEN/MB-01 reactor and a small bias and small standard deviation for the B&W facility. Overall, the results show that MPACT performs well for modeling small critical reactors.

scholarly journals Thermal Effect on Vibration of Clamped Visco-Elastic Rectangular Plate with Parabolic Thickness Variation in Both Directions

2010 ◽  
Vol 17 (1) ◽  
pp. 93-105
Author(s):  
A.K. Gupta ◽  
Harvinder Kaur ◽  
Sanjay Kumar
Keyword(s):  
Boundary Condition ◽  
Rectangular Plate ◽  
Thermal Gradient ◽  
Frequency Equation ◽  
Thickness Variation ◽  
Linear Temperature ◽  
Time Period ◽  
Small Deflection ◽  
Thermal Constants ◽  
Elastic Rectangular Plate

The analysis presented here is to study the effect of thermal gradient on the vibration of visco-elastic rectangular plate (having clamped boundary condition on all the four edges) of variable thickness whose thickness varies parabolically in both directions. The effect of linear temperature variation has been considered. A frequency equation of plate has been obtained by Rayleigh-Ritz technique with two terms of deflection function. The assumption of small deflection and linear visco-elastic properties of ‘Kelvin’ type are taken. Deflection and time period corresponding to the first two modes of vibrations for clamped plate have been computed for various combinations of aspect ratio, thermal constants, and taper constants. Numerical computations have been performed for an alloy ‘Duralium’ and the results obtained are depicted graphically.

Microscopic Analyze of Insoles Composite Structures Behavior under Water Immersion, Temperature Variation and Saline

2015 ◽  
Vol 760 ◽  
pp. 287-292 ◽  
Author(s):  
Mihaela Baritz ◽  
Laura Diana Cotoros ◽  
Lucia Dumitrescu
Keyword(s):  
Temperature Variation ◽  
Structure Analysis ◽  
Composite Structure ◽  
Composite Structures ◽  
Structural Changes ◽  
Water Immersion ◽  
Microscopic Analysis ◽  
Experimental System ◽  
Effect Of Temperature ◽  
Time Period

A number of issues related to composite structure analysis of variants of insoles, commonly used for getting comfortable wearing or improvement of posture deficiencies are presented in this research paper. In the first part of a paper some variants of biomechanical system consisting of composite structures - namely foot and insoles variants undergo analysis are presented and analyzed. This study aims to determine how these insoles react to the effect of temperature and humidity parameters during different time period. In the second part of the paper the experimental system and how to choose the group of samples analyzed are presented. The results and conclusions obtained from this study and the establishing the structural changes, evidenced by microscopic analysis are analyzed in the final part of the paper.

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