Vibration Analysis of a Tire Under Static Loading Using Flexible Ring-Based Model

2020 ◽  
Vol 143 (1) ◽  
Author(s):  
Aakash Swami ◽  
Ashok Kumar Pandey
Keyword(s):  
Finite Element ◽  
Static Loading ◽  
Contact Region ◽  
Three Dimensional ◽  
Mode Shapes ◽  
Ring Model ◽  
Dimensional Finite Element ◽  
Bending Modes ◽  
Three Dimensional Finite Element ◽  
Flexible Ring

Abstract To address various tire vibration characteristics such as noise, vibration, and harshness, it is necessary to study the tire dynamic performance. In this paper, we focus on investigating the influence of static loading on radial (in-plane) and bending modes and their frequencies of a tire. To model the effect, we first identify important tire parameters, termed as modal parameters, based on three-dimensional ring model and three-dimensional finite element results under free-free conditions without and with temperature variations. After finding the parameters, we have used three-dimensional flexible ring model in which both in-plane and bending modes are considered under static loading. When load is applied, tire behavior changes and it becomes more stiffer. Thus, it fixes the tire to the road and increases the contact region. In this paper, we define this contact region over θf < θ < 2π and the region 0 < θ < θf can be considered free-free. Subsequently, we assume the expression of radial and bending modes in terms of generalized coordinates satisfying the above boundary conditions and obtain kinetic and potential energy by integrating it over 0 < θ < θf. The unknown coordinate is obtained by satisfying the governing conditions. Finally, corresponding mode shapes and frequencies are obtained. The assumed modes and frequencies are validated with three-dimensional finite element model using abaqus. The same procedure can be extended to compute modes and frequencies as a function of temperature under static loading for a constant tire pressure.

Numerical Investigation of Blade Packet Vibrations

1997 ◽  
Author(s):  
Iouri S. Vorobev ◽  
Serge P. Kanilo ◽  
Elena I. Nikulina
Keyword(s):  
Finite Element ◽  
Vibration Mode ◽  
State Of The Art ◽  
Three Dimensional ◽  
Mode Shapes ◽  
Finite Element Models ◽  
Dimensional Finite Element ◽  
Single Structure ◽  
Three Dimensional Finite Element ◽  
The Cost

Vibrations are the great hazard for state-of-the-art gas and steam turbomachine blading. To improve the vibration behavior of the turbomachine blading, the blades are connected into packets. The influence of such connection on blading dynamics is complex, and additional investigations are required for every single structure. In this paper, numerical vibration analyses of the blade packets are carried out using detailed three-dimensional finite element models. As such problems are complex and expensive to solve, a method, considerably reducing the cost of eigenproblem solution, is proposed. The efficiency of the technique described is achieved due to the assumption that the packeted blades are identical. The results of the vibration analyses of the single blade and the blade packets using the technique discussed are presented. The complexity of the vibration mode shapes is shown. The numerical efficiency of the approach is analyzed.

Three Dimensional Finite Element Analysis of Transverse Free Vibration of Self-Pierce Riveting Beam

2007 ◽  
Vol 344 ◽  
pp. 647-654 ◽  
Author(s):  
Xiao Cong He ◽  
Ian Pearson ◽  
Ken W. Young
Keyword(s):  
Finite Element ◽  
Young’S Modulus ◽  
Natural Frequency ◽  
Natural Frequencies ◽  
Young's Modulus ◽  
Three Dimensional ◽  
Vibration Characteristics ◽  
Mode Shapes ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element

Self-pierce riveting (SPR) is nowadays widely used in the car manufacturing industry where aluminium alloys are used for body construction. For the design of mechanical structures, formed by the joining of component parts, a knowledge of the vibration characteristics of different joint types (adhesive bonding, spot welding, SPR etc) is essential. The free transverse vibration characteristics of single lap-jointed encastre SPR beams are investigated theoretically in this paper using the three dimensional finite element method (FEM). Numerical examples are provided to show the influence on the natural frequencies, natural frequency ratios and mode shapes of these beams caused by variations in the material properties (E and υ) of the sheet material. It is shown that the transverse natural frequencies of single lap jointed encastre SPR beams increases significantly as the Young’s Modulus of the sheets increases, but only slight changes are encountered for variations of Poisson’s Ratio. It is found that an exponential curve gives an acceptable fit to the relationship between natural frequency and Young’s Modulus. As expected, odd modes shapes were found to be symmetrical about the mid-length position and even modes were anti-symmetrical.

Study of a Conical Coupling for Torque Transmission

2009 ◽  
Author(s):  
Rose Nyatando ◽  
Jian Ding ◽  
Edward J. Williams
Keyword(s):  
Finite Element ◽  
Contact Region ◽  
Three Dimensional ◽  
Pressure Distributions ◽  
Assembly Accuracy ◽  
Torque Transmission ◽  
Dimensional Finite Element ◽  
Torque Capacity ◽  
Conical Surfaces ◽  
Three Dimensional Finite Element

A study has been conducted on the design of a conical coupling joint in which torque is transmitted by frictional contact across conical surfaces on the flanges. Three dimensional finite element analyses were undertaken on the coupling, employing a full 360-degree model along with more detailed analytical studies using a representative cyclic symmetry model. Parametric studies were done on a number of geometries where investigations were made with the aim of improving the pressure distributions and values in the contact region, while working towards maximizing the torque capacity on the joint. The results showed that the torque capacity is strongly dependent on the angle of the conical surface. A 0.5° angular variation between two contacting conical surfaces provided an increase in contact area and a significant reduction in the contact pressure peaks. As part of the study on the design improvement, the potential effects of manufacturing variations were investigated and results showed that variations of ±0.25° should not significantly affect the assembly accuracy. A parallel experimental study of a prototype joint was also undertaken. Measured torque capacity on the prototype was in good agreement with values predicted by the finite element models.

Finite Element Analysis of Nonuniformity of Tires with Imperfections5

2007 ◽  
Vol 35 (3) ◽  
pp. 226-238 ◽  
Author(s):  
K. M. Jeong ◽  
K. W. Kim ◽  
H. G. Beom ◽  
J. U. Park
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Three Dimensional ◽  
Element Model ◽  
Radial Force ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Dimensional Finite Element ◽  
Force Variation ◽  
Three Dimensional Finite Element

Abstract The effects of variations in stiffness and geometry on the nonuniformity of tires are investigated by using the finite element analysis. In order to evaluate tire uniformity, a three-dimensional finite element model of the tire with imperfections is developed. This paper considers how imperfections, such as variations in stiffness or geometry and run-out, contribute to detrimental effects on tire nonuniformity. It is found that the radial force variation of a tire with imperfections depends strongly on the geometrical variations of the tire.

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