Influence of Thermal and Elastic Deformations on Connecting-Rod Big End Bearing Lubrication Under Dynamic Loading

1999 ◽  
Vol 122 (1) ◽  
pp. 181-191 ◽  
Author(s):  
S. Piffeteau ◽  
D. Souchet ◽  
D. Bonneau
Keyword(s):  
Finite Element ◽  
Dynamic Loading ◽  
Numerical Procedure ◽  
Element Formulation ◽  
Heat Transfer Equation ◽  
Connecting Rod ◽  
Elastic Deformations ◽  
Newton Raphson ◽  
Energy Equations ◽  
Raphson Method

A numerical procedure is developed for the analysis of transient thermoelastohydrodynamic (TEHD) behavior of connecting-rod bearings under dynamic loading. The Reynolds and energy equations in the film and heat transfer equation in the solids are all solved using the Newton-Raphson method and the finite element formulation. The finite element meshes of the three domains are interconnected, and so the heat flux continuity conditions become implicit. As a consequence, the study of complicated structures, such as actual connecting-rod bearings, can be handled and boundary conditions can easily be changed. [S0742-4787(00)02301-8]

Thermohydrodynamic Analysis for a Hydrodynamic Journal Bearing Groove

2005 ◽  
Vol 219 (4) ◽  
pp. 263-274 ◽  
Author(s):  
L Jeddi ◽  
M El Khlifi ◽  
D Bonneau
Keyword(s):  
Finite Element ◽  
Numerical Model ◽  
Journal Bearing ◽  
Numerical Procedure ◽  
Navier Stokes ◽  
Element Formulation ◽  
Lubricant Flow ◽  
Hydrodynamic Journal Bearing ◽  
Feeding Pressure ◽  
Energy Equations

A numerical procedure is developed for the analysis of thermohydrodynamic behaviour of the hydrodynamic (HD) flow in the groove of a journal bearing. The Navier-Stokes and energy equations are written in terms of the primitive variables u, v, p, and T and solved simultaneously using the incremental load method and the finite element formulation. The numerical model is applied to the analysis of the velocities, the pressure, and the temperature patterns that characterize the lubricant flow in the HD groove. The effects of the runner velocity and the feeding pressure are investigated.

Influence of Transverse Cracks on Ultimate Strength of a Steel Plate Under Compression

2011 ◽  
Author(s):  
Abbas Bayatfar ◽  
Jerome Matagne ◽  
Philippe Rigo
Keyword(s):  
Finite Element ◽  
Ultimate Strength ◽  
Steel Plate ◽  
Transverse Cracks ◽  
Longitudinal Compression ◽  
Initial Imperfections ◽  
Crack Location ◽  
Linear Finite Element ◽  
Newton Raphson ◽  
Raphson Method

This study has been carried out on ultimate compressive strength of a cracked steel plate component, considering the effects of initial imperfections (transverse and longitudinal residual stresses and initial deflection, as well). The main objective of this paper is to numerically investigate the influence of crack location and crack length on ultimate strength of a steel plate under monotonic longitudinal compression. This investigation is performed through non-linear finite element (FE) analysis using ANSYS commercial finite element code in which is employed Newton-Raphson method. The FE results indicate that the length of transverse crack and especially its location can significantly affect the magnitude of ultimate strength where the steel plate is subjected to longitudinal compressive action.

Improved Rotative Mid-Point Mensuration and Newton-Raphson Method in 2-D Flat Rolling Simulation

2011 ◽  
Vol 328-330 ◽  
pp. 1436-1439
Author(s):  
Shu Ni Song ◽  
Jing Yi Liu
Keyword(s):  
Finite Element ◽  
Simultaneous Equations ◽  
Rigid Plastic ◽  
Cpu Time ◽  
Numerical Tests ◽  
Element Simulation ◽  
Flat Rolling ◽  
Newton Raphson ◽  
Time Required ◽  
Raphson Method

Newton-Raphson (N-R) method has been employed to solve the system of simultaneous equations arising in Rigid-Plastic finite element simulation. The combination of the improved rotative mid-point mensuration and the N-R method, named the M-P method is designated to solve the equations of velocity increment in Rigid-Plastic FEM. The CPU times required for calculation by the M-P method and the N-R method are compared and it is found that the CPU time required for calculation of the N-R method is more than the M-P method. The calculated rolling forces by the M-P method and the N-R method are compared and it is found that the former correlates better with the measured value. Numerical tests and application show that the M-P method is feasible and steady.

Finite Element Analysis of the Thermal and Mechanical Behaviors of Bolted Joint

2003 ◽  
Author(s):  
Toshimichi Fukuoka
Keyword(s):  
Finite Element ◽  
Heat Flow ◽  
Gas Turbines ◽  
Internal Combustion Engines ◽  
Thermal Contact ◽  
Numerical Procedure ◽  
Pressure Vessels ◽  
Element Formulation ◽  
Bolted Joint ◽  
Flow Through

Mechanical and thermal behaviors of the bolted joint subjected to thermal load are analyzed using axisymmetric FEM, where the effects of thermal contact resistance at the interface and heat flow through small gaps are taken into account in order to accurately evaluate the variations of bolt preloads. It is expected that the numerical procedure proposed here provides an effective means for estimating the strength of such critical structures as internal combustion engines, pressure vessels, steam and gas turbines, etc. An empirical equation that can compute the thermal contact coefficient at the interface composed of common engineering materials has been proposed in the previous paper. In this study, a simple equation for evaluating the amounts of heat flow through small gaps is shown by defining apparent thermal contact coefficient. A finite element approach has been established by incorporating the aforementioned thermal contact coefficients into the finite element formulation. By use of the FE code, it is shown that among various thermal properties, coefficient of linear expansion has dominant effects on the variations of bolt preloads. The validity of the numerical approach is demonstrated by experimentation.

Finite Element-Based Brownian Dynamics Simulation of Nanofiber Suspensions Using Monte Carlo Method1

2015 ◽  
Vol 3 (4) ◽  
Author(s):  
Dongdong Zhang ◽  
Douglas E. Smith
Keyword(s):  
Finite Element ◽  
Monte Carlo ◽  
Brownian Dynamics ◽  
Element Model ◽  
Dynamics Simulation ◽  
Brownian Dynamics Simulation ◽  
Fiber Motion ◽  
Newton Raphson ◽  
Raphson Method ◽  
Surrounding Fluid

This paper presents a computational approach for simulating the motion of nanofibers during fiber-filled composites processing. A finite element-based Brownian dynamics simulation (BDS) is proposed to solve for the motion of nanofibers suspended within a viscous fluid. We employ a Langevin approach to account for both hydrodynamic and Brownian effects. The finite element method (FEM) is used to compute the hydrodynamic force and torque exerted from the surrounding fluid. The Brownian force and torque are regarded as the random thermal disturbing effects which are modeled as a Gaussian process. Our approach seeks solutions using an iterative Newton–Raphson method for a fiber's linear and angular velocities such that the net forces and torques, including both hydrodynamic and Brownian effects, acting on the fiber are zero. In the Newton–Raphson method, the analytical Jacobian matrix is derived from our finite element model. Fiber motion is then computed with a Runge–Kutta method to update fiber position and orientation as a function of time. Instead of remeshing the fluid domain as a fiber migrates, the essential boundary condition is transformed on the boundary of the fluid domain, so the tedious process of updating the stiffness matrix of finite element model is avoided. Since the Brownian disturbance from the surrounding fluid molecules is a stochastic process, Monte Carlo simulation is used to evaluate a large quantity of motions of a single fiber associated with different random Brownian forces and torques. The final fiber motion is obtained by averaging numerous fiber motion paths. Examples of fiber motions with various Péclet numbers are presented in this paper. The proposed computational methodology may be used to gain insight on how to control fiber orientation in micro- and nanopolymer composite suspensions in order to obtain the best engineered products.

Dynamic Wrinkling of Viscoelastic Membranes

1993 ◽  
Vol 60 (3) ◽  
pp. 575-582 ◽  
Author(s):  
C. H. Jenkins ◽  
J. W. Leonard
Keyword(s):  
Finite Element ◽  
Constitutive Equation ◽  
Strain Energy ◽  
Temporal Integration ◽  
Nonlinear Finite Element ◽  
Analysis Method ◽  
Finite Difference Equation ◽  
Membrane Structures ◽  
Newton Raphson ◽  
Raphson Method

Problems associated with viscoelastic membrane structures have been documented, e.g., dynamic wrinkling and its effects on fatigue analysis and on snap loading. In the proposed analysis method, the constitutive equation is approximated by a finite difference equation and embedded within a nonlinear finite element spatial discretization. Implicit temporal integration and a modified Newton-Raphson method are used within a time increment. The stress-strain hereditary relation is formally derived from thermodynamic considerations. Use of modified strain-energy and dissipation functions facilitates the description of wrinkling during the analysis. Applications are demonstrated on an inflated cylindrical cantilever and on a submerged cylindrical membrane excited by waves.

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