Reliability-based high cycle fatigue design approach of parabolic leaf spring

Abstract

It is well established that the fatigue phenomenon of metallic structures such as leaf springs presents a random behavior, which is influenced by a probabilistic effect of many factors. This paper presents a probabilistic design approach to predict the high cycle fatigue behavior of a single asymmetric parabolic leaf spring. The suggested approach is used to assess the fatigue reliability of a single asymmetric parabolic leaf spring with uncertainties associated with its design parameters. This approach is based on the Gerber fatigue criterion, response surface method, and finite element model of the single asymmetric parabolic leaf spring. Two models of single asymmetric parabolic leaf spring are proposed: an analytical model based on the response surface method and a finite element one. To estimate the fatigue resistance according to the Gerber criterion, the probabilistic approach is developed using the “strength-load” method and the Monte Carlo simulation method. The dispersion of geometrical, applied loading, and material properties are taken into consideration. A comparison between fatigue reliability values, calculated by the application of Monte Carlo simulation method on the finite element and response surface models, indicates a good correlation between different method results.

Diffusion behavior of Cr and V elements in the 50CrVA steel under high-temperature oxidation and surface treatment processes

“…As an essential part of the automobile, the reliability of leaf spring performance and quality directly affects its driving safety. Furthermore, leaf springs are subjected to great alternating loads during driving [4][5][6]. Therefore, automobile manufacturers have high requirements for the high surface quality of the leaf springs.…”

A simple analytical bending stress model of parabolic leaf spring

“…To predict the fatigue failure of a parabolic leaf spring, the finite element analysis (FEA) is widely used to simulate the applied stress distribution and fatigue behaviour in the design stage. [14][15][16][17][18][19][20] Nevertheless, the deterministic and probabilistic optimisation of leaf spring design parameters, which need a large number of stress model calls, [21][22][23] involve a considerable computational effort by using a FEM of parabolic leaf spring (PLS). Therefore, it is very important to use a simple and precise model to carry out the applied stress distribution.…”

Experimental and numerical analysis of the static strength and fatigue life reliability of parabolic leaf springs in heavy commercial trucks

“…To estimate the fatigue resistance according to the Gerber criterion, the probabilistic approach was developed using the ‘strength-load’ method and Monte Carlo simulations. 6…”

“…To estimate the fatigue resistance according to the Gerber criterion, the probabilistic approach was developed using the 'strength-load' method and Monte Carlo simulations. 6 The influence of the environmental media on fatigue life manifested in the variation of fatigue life with applied stress, grain size, inclusion size and material yield stress was explained. It was concluded that fatigue life decreases with the applied loading and inclusion size, whereas it increases with the material yield stress.…”