Computationally Efficient Reliability Analysis of Mechanisms Based on a Multiplicative Dimensional Reduction Method

Xufang Zhang · Mahesh D. Pandey · Yimin Zhang

56 citations0/0 files storedJournal of Mechanical Design

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Probabilistic and Robust Engineering Design Reliability and Maintenance Optimization Risk and Safety Analysis

Abstract

The paper presents a computationally efficient method for system reliability analysis of mechanisms. The reliability is defined as the probability that the output error remains within a specified limit in the entire target trajectory of the mechanism. This mechanism reliability problem is formulated as a series system reliability analysis that can be solved using the distribution of maximum output error. The extreme event distribution is derived using the principle maximum entropy (MaxEnt) along with the constraints specified in terms of fractional moments. To optimize the computation of fractional moments of a multivariate response function, a multiplicative form of dimensional reduction method (M-DRM) is developed. The main benefit of the proposed approach is that it provides full probability distribution of the maximal output error from a very few evaluations of the trajectory of mechanism. The proposed method is illustrated by analyzing the system reliability analysis of two planar mechanisms. Examples presented in the paper show that the results of the proposed method are fairly accurate as compared with the benchmark results obtained from the Monte Carlo simulations.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 56 citations exist upstream.

References

1996Response Surface Methodology: Process and Product Optimization Using Designed Experiments 1978Structural reliability under combined random load sequences 1999General foundations of high‐dimensional model representations 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics 1999A new adaptive importance sampling scheme for reliability calculations 2001High Dimensional Model Representations 2003The PHI2 method: a way to compute time-variant reliability 2006The equivalent extreme-value event and evaluation of the structural system reliability

Cited by

2016Time-dependent reliability sensitivity analysis of motion mechanisms 2016Efficient reliability assessment of structural dynamic systems with unequal weighted quasi-Monte Carlo Simulation 2017Efficient reliability analysis of structures with the rotational quasi-symmetric point- and the maximum entropy methods 2021Kinematic reliability evaluation of high-precision planar mechanisms experiencing non-uniform wear in revolute joints 2018An effective approach for kinematic reliability analysis of steering mechanisms

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.