Template:Stress-Strength Analysis in Design For Reliability: Difference between revisions
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<center><math>R=P[Stress\le Strength]=\int_{0}^{\infty }{{{f}_{Stress}}(x)\cdot {{R}_{Strength}}(x)}dx</math></center> | <center><math>R=P[Stress\le Strength]=\int_{0}^{\infty }{{{f}_{Stress}}(x)\cdot {{R}_{Strength}}(x)}dx</math></center> | ||
Since the stress distribution can be estimated from customer usage data, <math>{f}_{Stress} </math> can be assumed to be known. For a given reliability goal, the strength distribution <math> {R}_{Strength}</math> is the only unknown and can be solved from the above equation. The following example explains how to use Weibull++ to determine the parameters for a strength distribution. | Since the stress distribution can be estimated from customer usage data, <math>{f}_{Stress} </math> can be assumed to be known. For a given reliability goal, the strength distribution <math> {R}_{Strength}</math> is the only unknown and can be solved from the above equation. The following example explains how to use Weibull++ to determine the parameters for a strength distribution. | ||
Revision as of 19:05, 27 February 2012
Stress-Strength Analysis in Design For Reliability
The stress distribution usually can be estimated from customer usage data. For example, the milage per year of a passanger car, or the load distribution for a beam. The strength distribution is affected by the material used in a component, the geometric dimension, and the manufacturing process. By adjusting these factors, a strength distribution that meets the reliability goal can be obtained. The reliability goal is used to decide the distribution goal of the strenght. As we know, the expected reliability is callled from the following stress-strength calculation:
Since the stress distribution can be estimated from customer usage data, [math]\displaystyle{ {f}_{Stress} }[/math] can be assumed to be known. For a given reliability goal, the strength distribution [math]\displaystyle{ {R}_{Strength} }[/math] is the only unknown and can be solved from the above equation. The following example explains how to use Weibull++ to determine the parameters for a strength distribution.