Fatigue reliability design for metal dual inline packages under random vibration based on response surface method

The failure path of large complex steel structure systems for lattice jib cranes is investigated in this paper. Considering the lack of an explicit function expression in the study of reliability, a method based on a modified response surface method is proposed to quantify the reliability index and the failure probability, capitalizing on the linear-approximated iteration and the difference approach rather than the differential approach in solving nonlinear equations. The major failure path is determined through the analysis of the multiple failure probabilities. The main failure mode of lattice jib cranes is a failure in stability, not a failure in strength based on a comparison of the failure probabilities of both stability failures and strength failures. And the failure path is substantially a rearrangement of the hazardous components and the failure path of components with similar probabilities and close locations varies only in that these components break at distinct starting positions. Finally a proposal is put forward to heighten in engineer practices the security reserves of hazardous components to achieve high reliability of an overall system.

Download Full-text

Distributed collaborative response surface method for mechanical dynamic assembly reliability design

Chinese Journal of Mechanical Engineering ◽

10.3901/cjme.2013.06.1160 ◽

2013 ◽

Vol 26 (6) ◽

pp. 1160-1168 ◽

Cited By ~ 32

Author(s):

Guangchen Bai ◽

Chengwei Fei

Keyword(s):

Response Surface ◽

Response Surface Method ◽

Reliability Design ◽

Surface Method ◽

Dynamic Assembly

Download Full-text

Stochastic Response Surface Method Based on Weighted Regression and Its Application to Fatigue Reliability Analysis of Crankshaft

Volume 13: New Developments in Simulation Methods and Software for Engineering Applications; Safety Engineering, Risk Analysis and Reliability Methods; Transportation Systems ◽

10.1115/imece2009-11095 ◽

2009 ◽

Author(s):

Yi Fei Sun ◽

Hao Bo Qiu ◽

Liang Gao ◽

Ke Lin ◽

Xue Zheng Chu

Keyword(s):

Reliability Analysis ◽

Response Surface ◽

Response Surface Method ◽

Limit State ◽

Weighted Regression ◽

Normal Equation ◽

Fatigue Reliability ◽

Stochastic Response ◽

Stochastic Response Surface Method ◽

Surface Method

Response surface method (RSM) is widely used in structural reliability analysis with implicit performance function (PF) which requires formidable computational effort. The ill conditioned coefficient matrix of normal equation in classical RSM prevents it from being used in high order conditions. The stochastic response surface method (SRSM), deriving from classical RSM, offers one alternative to solve this problem. Yet the regression method of conventional SRSM is based on normal least square method which ignores the different significance of each sample point through which the response surface function (RSF) is formed. To yield RSF close to the limit state which leads to better estimation of probability of failure, this paper introduces the weighted regression into SRSM and several examples with hypothetic explicit PF are given to test the performance of SRSM. In addition, we use this method in the fatigue reliability analysis of crankshaft with implicit PF. All these examples demonstrate the advantages of the proposed method.

Download Full-text