Effects of Shear Deformation, Rotary Inertia, and Elasticity of the Support on the Resonance Frequencies of Short Cantilever Beams

1976 ◽  
Vol 98 (1) ◽  
pp. 79-87 ◽  
Author(s):  
V. Beglinger ◽  
U. Bolleter ◽  
W. E. Locher

The purpose of this paper is to contribute to the assessment of the influence of shear deformation, rotary inertia, and elasticity of the support on the resonance frequencies of short turbomachinery blades. To obtain defined test conditions and to model the stiffest possible root design, the study is made on beams and supports machined from one piece. Experimental results show good agreement with results obtained from the finite element program NASTRAN. An estimate of the combined effects obtained by taking the individual effects multiplicatively, with the effect of the elasticity of the support being computed on the basis of known static influence coefficients of the elastic half space, results in a frequency reduction larger than measured.

Author(s):  
J Wang ◽  
I Howard

This paper presents the results of a detailed analysis of torsional stiffness of a pair of involute spur gears in mesh using finite element methods. Adaptive meshing has been employed within a commercial finite element program to reveal the detailed behaviour in the change over region from single- to double-tooth contact zones and vice versa. Analysis of past gear tooth stiffness models is presented including single- and multitooth models of the individual and combined torsional mesh stiffness. The gear body stiffness has been shown to be a major component of the total mesh stiffness, and a revised method for predicting the combined torsional mesh stiffness is presented. It is further shown tha the mesh stiffness and load sharing ratios will be a function of applied load.


2019 ◽  
Vol 271 ◽  
pp. 08008
Author(s):  
Mohsen Talebsafa ◽  
Stefan A. Romanoschi ◽  
Athanassios T. Papagiannakis ◽  
Constantin Popescu

A newly constructed pavement on US-287 near Mansfield, TX was instrumented with gauges installed at the bottom of the asphalt concrete base layer to measure the longitudinal and transverse strains developed under a test vehicle. The finite element program Abaqus was used to compute the strains at the location of the gauges; they were found in good agreement with the measured strains. The research showed that the strains under the steering axle were of similar magnitude as the strains under the rear tandem axle. The measured transverse strains were in general slightly bigger than the corresponding longitudinal strains, while the finite element model computed higher strains in the longitudinal direction. These findings suggest the need to account for the strain responses from the steering axle of trucks and to account for both the longitudinal and the transverse strains when computing the fatigue damage induced by trucks.


2013 ◽  
Vol 811 ◽  
pp. 131-134
Author(s):  
Wei Wei Zhang ◽  
Hong Xu

In order to analyze the stress relaxation behavior under repeated loadings for 1Cr-0.5Mo-0.25V steel, a stress relaxation model based on creep equations has been developed. The model was implemented into the ANSYS finite element program in terms of user define material model. The calculated results were compared to the observed results of uniaxial reloading stress relaxation testing, which were performed by the National Research Institute for Metals of Japan (NRIM) for 1Cr-0.5Mo-0.25V stainless steel bolting material at 500°C. It was shown that the proposed model could be applied for the present data. The calculated residual stresses versus time curves were in good agreement with the observed for initial stress level of 297.1MPa at 500°C and for specific reloading time intervals of 24, 72, 240, and 720 hours.


1972 ◽  
Vol 94 (1) ◽  
pp. 267-278 ◽  
Author(s):  
W. Carnegie ◽  
J. Thomas

This paper deals with the effect of shear deformation and rotary inertia on the frequencies of flexural vibration of pre-twisted and non-pre-twisted uniform and tapered cantilever beams. The equations of motion are derived and transformed into a set of linear simultaneous algebraic equations by using finite-difference solutions for the derivatives. The resulting eigenvalue matrix equation is solved for the frequency parameters by a QR transformation. The effects of various tapers, depth-to-length ratios and pre-twist angles on the frequencies of vibration are investigated for the first five modes. Results obtained are compared with those presented by other investigators where available and show good agreement. The experimental results presented also show good agreement with the corresponding theoretical values.


2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Sven Krabbenhoft ◽  
Johan Clausen ◽  
Lars Damkilde

This paper presents the results of a series of triaxial tests with dry sand at confining pressures varying from 1.5 kPa to 100 kPa at relative densities of 0.20, 0.59, and 0.84. The results, which are in reasonable accordance with an equation given by Bolton, show that the friction angle is strongly dependent on the stress level and on the basis of the test results, a nonlinear Mohr failure criterion has been proposed. This yield criterion has been implemented in a finite element program and an analysis of the bearing capacity of a circular shaped model foundation, diameter 100 mm, has been conducted. Comparisons have been made with results from 1g model scale tests with a foundation of similar size and a good agreement between numerical results and test results has been found.


2007 ◽  
Vol 344 ◽  
pp. 677-684 ◽  
Author(s):  
Hartmut Hoffmann ◽  
Christoph Hein ◽  
Seok Moo Hong ◽  
Hyun Woo So

The increasing individualization of products assigns manufacturing companies to new tasks like manufacturing various products in a more efficient way. This progression in the market leads on the one hand to a new product design and on the other hand to an improved production process. Both are necessary to reduce assembly, service and recycling costs. Hence the joining technology is and will become more and more important. The conventional joining technologies like welding, bonding, bolting or clamping have their own disadvantages especially in the field of flexibility. In order to reduce the effort for assembling and disassembling by retaining the requirements of the connection a new innovative joining technology is needed. In this study a new joining technology is introduced to become faster and more flexible in assembling and disassembling. The basic idea of this manufacturing technology comes from a “metal hook and loop fastener”. A hook and loop fastener consisting of metal has a lot of advantages for the fields of industrial assembly, service and recycling. Similar to the synthetic hook and loop fastener a metal one is characterized by easy closing and opening without special tools. And in comparison to the synthetic hook and loop fastener the transmissible forces are very high. An additional benefit can be gained for instance in shock absorbing or resistance against chemical and thermal influence. Two solutions are followed up to invent the “metal hook and loop fastener”. A one-to-one copy of the conventional hook and loop fastener is constructed in metal and specific solutions for the use of metal are tested. A conventional finite element program was used in order to optimize the construction of a metal cocklebur and the results show a good agreement with the experiment.


2012 ◽  
Vol 461 ◽  
pp. 93-96
Author(s):  
Xiao Jun Yuan ◽  
Li Chen ◽  
Jian Hua Wu ◽  
Jing Xin Tang

Much effort has been devoted to studying the blast properties of masonry infilled panels due to recent increasing accidental blast events. In this paper, the blast properties of the masonry infilled walls were analyzed with the finite element program LS-DYNA by the way of distinctive consideration of the bricks and mortar material in contrast to the experimental data. The numerical results have a good agreement with experimental data. The reliability and efficiency of this method in predicting the dynamic responses of masonry walls to blast loads was proven.


2010 ◽  
Vol 168-170 ◽  
pp. 1999-2002
Author(s):  
Qiang Su ◽  
Ya Ping Wu

In this paper, the differential equations of composite laminated box beams are established based on the principle of minimum potential energy and the variational method. Considering shear lag and shear deformation effects, elastic stiff matrix, geometric nonlinearity stiff matrix and equivalent nodal forces vector of composite laminated box beam element are given. And a finite element program is developed, then a new computing analysis theory for composite laminated box beam is given, both considering shear lag, shear deformation and geometric nonlinearity effects.


1994 ◽  
Vol 29 (2) ◽  
pp. 105-116
Author(s):  
V O A Oloyede ◽  
C E Turner

This paper presents a generalized concept of combined hardening which is examined by experimental and computational methods. A ‘kinematic displacement parameter’, β, relating the movement of the yield function surface to the Bauschinger effect, is defined in terms of its dependence on material properties and loading state. Experimental relations between β and the plastic strain, εp, are prsented for three metals. The monotonic stress-strain and β data are used in a finite element program to show that settled cyclic hysteresis loops are soon established. Settled cyclic stress-strain curves computed in this way are in good agreement with the experimental results for an aluminium alloy, a stainless steel that shows cyclic hardening, and a titanium alloy that shows little cyclic effect.


2019 ◽  
Vol 12 (4) ◽  
Author(s):  
Safa Saib Kadhim ◽  
Haider Ammash

This paper introduced a strengthening technique for flat plates using steel stiffeners. In this paper, the effectiveness of steel stiffeners with different arrangements and numbers on the punching shear strength. The strengthening steel stiffeners were installed around the column and extended to the slab and acted as a column capital and designed with the equivalent of a concrete column capital. The study was divided into two lines, the first line was the experimental study involves the molding three reinforced concrete flat slab models strengthening with different dimensions and the molding three reinforced concrete flat slab models strengthening with different dimensions and numbers of steel stiffeners, where the dimensions of steel plates changed as shown for specimen SS1 (100×100mm), SS2 (200×200mm), and SS3 (300×300mm) in addition to reference model without strengthening. The second line that numerical modeling through the ABAQUS finite element program was introduced. Effect of the steel stiffeners' size and the effect of the column's shape (rectangular and circular) that's deal with steel stiffeners were studied experimentally and numerically. A good agreement was obtained between the experimental and theoretical results.


Sign in / Sign up

Export Citation Format

Share Document