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Keywords: probability
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Journal Articles
Article Type: Research Papers
J. Mech. Des. January 2021, 143(1): 011704.
Paper No: MD-19-1639
Published Online: July 27, 2020
...Dequan Zhang; Zhouyuan Peng; Guosong Ning; Xu Han The positioning accuracy of industrial robots has an important influence on the stability and accuracy of robotic motion, which is one of the important indexes to measure the performance of robots. At present, some probability theory based methods...
Journal Articles
Article Type: Technical Briefs
J. Mech. Des. April 2020, 142(4): 044502.
Paper No: MD-19-1204
Published Online: November 4, 2019
... to proficiently predict the kinematic reliability of robotic manipulators. The kinematic reliability is defined by the probability that the actual position of an end-effector falls into a specified tolerance sphere, which is centered at the target position. The motion error is indicated by a compound function...
Journal Articles
Article Type: Research Papers
J. Mech. Des. March 2012, 134(3): 031001.
Published Online: February 18, 2012
...C. Jiang; X. Han; W. X. Li; J. Liu; Z. Zhang Traditional reliability analysis generally uses probability approach to quantify the uncertainty , while it needs a great amount of information to construct precise distributions of the uncertain parameters. In this paper, a new reliability analysis...
Journal Articles
Article Type: Technical Briefs
J. Mech. Des. January 2012, 134(1): 014502.
Published Online: January 4, 2012
... as probabilistic constraints (e.g., probabilistic feasibility analysis [( 14 16 )], and the moment matching method [( 23 )]), and nonprobabilistic methods that do not require probability and statistical analyses (e.g., the method of corner space evaluation [( 25 )] and variation patterns method [( 26...
Journal Articles
Article Type: Technical Briefs
J. Mech. Des. September 2011, 133(9): 094503.
Published Online: September 9, 2011
...). The appropriate temperature mission profile and flight time are therefore considered with their scatters, in addition to those of the parameters of the fatigue model. Regarding these latter parameters, a simulation based approach is proposed and applied for the determination of their probability density function...
Journal Articles
Article Type: Research Papers
J. Mech. Des. June 2011, 133(6): 061001.
Published Online: June 15, 2011
..., it is useful to determine the sensitivity of the product reliability to the imposed bounds. In this work, a method to compute the partial derivatives of the probability-of-failure and the response moments, such as mean and the standard deviation, with respect to the bounds of truncated distributions...
Journal Articles
Article Type: Research Papers
J. Mech. Des. May 2011, 133(5): 051007.
Published Online: June 8, 2011
.... The proposed formulations are based on joint probability, i.e., probability that all objectives are simultaneously bound by certain design thresholds under uncertainty. For minimization problems, these thresholds can be viewed as the desired upper bounds on the individual objectives. The tradeoffs...
Journal Articles
Article Type: Research Papers
J. Mech. Des. April 2011, 133(4): 041005.
Published Online: May 9, 2011
... formal verification principal component analysis probability production engineering computing Computer-aided engineering (CAE) has become a vital tool for product development in automobile industry. Various computer programs and models are developed to simulate dynamic systems. To maximize...
Journal Articles
Article Type: Technical Briefs
J. Mech. Des. April 2011, 133(4): 044501.
Published Online: May 2, 2011
... to evaluate the failure probability. However, the traditional RIA suffers from inefficiency and convergence problems. In this paper, we revisited the definition of the reliability index and revealed the convergence problem in the traditional RIA. Furthermore, a new definition of the reliability index...
Journal Articles
Article Type: Research Papers
J. Mech. Des. March 2011, 133(3): 031004.
Published Online: March 1, 2011
... imprecise probability theory that has the form of generalized interval. The new interval probability resembles the precise probability and has a similar calculus structure. The proposed GHMM allows us to quantify cross-scale dependency and information loss between scales. Based on a generalized interval...
Journal Articles
Article Type: Research Papers
J. Mech. Des. March 2011, 133(3): 031005.
Published Online: March 1, 2011
...Junfu Zhang; Xiaoping Du A function generator mechanism links its motion output and motion input with a desired functional relationship. The probability of realizing such functional relationship is the kinematic reliability. The time-dependent kinematic reliability is desired because it provides...
Journal Articles
Article Type: Research Papers
J. Mech. Des. November 2010, 132(11): 111002.
Published Online: October 20, 2010
... (AAIS) in calculating the values and gradients of probabilistic constraints. AAIS allocates samples at the limit state boundaries such that relatively few samples are required in calculating constraint probability values to achieve high accuracy and low variance. The accuracy of probabilistic constraint...
Journal Articles
Article Type: Research Papers
J. Mech. Des. October 2010, 132(10): 101008.
Published Online: October 4, 2010
... but may be dependent. To this point, the statistical dependence of the coefficients has been ignored in the random field characterization for probability analysis and design. This paper thus proposes an effective random field characterization method that can account for the statistical dependence among...
Journal Articles
Article Type: Research Papers
J. Mech. Des. September 2010, 132(9): 091008.
Published Online: September 16, 2010
... is the calculation of the so-called system cumulative probability of failure. For that, we use an equivalent time-invariant “composite” limit state and a niching genetic algorithm with lazy learning metamodeling. A two-mass vibratory system example and an automotive roller clutch example demonstrate the calculation...
Journal Articles
Article Type: Technical Briefs
J. Mech. Des. September 2010, 132(9): 094501.
Published Online: September 3, 2010
... is conducted with respect to changes in the standard deviation of the mean values of random variables and probability of constraint satisfaction. The present study is expected to help designers in creating optimized solar collectors based on specified requirements. Since game theory approach uses the results...
Journal Articles
Article Type: Research Papers
J. Mech. Des. June 2010, 132(6): 061002.
Published Online: May 20, 2010
.... 661 – 676 . Mitteau , J. -C. , 1996 , “ Error Estimates for FORM and SORM Computations of Failure Probability ,” Proceedings of the Seventh Specialty Conference on Probabilistic Mechanics and Structural Reliability , Aug. 7–9, ASCE, pp. 562 – 565 . Halton , J. , 1970...
Journal Articles
Article Type: Research Papers
J. Mech. Des. May 2010, 132(5): 051008.
Published Online: May 17, 2010
... the unified framework, an improved sequential optimization and reliability assessment method is proposed. Three examples are given to illustrate the benefits of the proposed methods. 23 01 2009 05 01 2010 17 05 2010 17 05 2010 design engineering optimisation probability...
Journal Articles
Article Type: Research Papers
J. Mech. Des. December 2009, 131(12): 121003.
Published Online: November 9, 2009
...Ramon C. Kuczera; Zissimos P. Mourelatos In a complex system it is desirable to reduce the number of expensive function evaluations required for an accurate estimation of the probability of failure. An efficient reliability estimation method is presented for engineering systems with multiple...
Journal Articles
Article Type: Research Papers
J. Mech. Des. July 2009, 131(7): 071009.
Published Online: June 25, 2009
.... The outer loop calculates multiple most probable points (MPPs), which are commonly encountered in vibration problems. The dominant MPPs with the highest contribution to the probability of failure are identified. A niching GA is used because of its ability to simultaneously identify multiple solutions. All...
Journal Articles
Article Type: Research Papers
J. Mech. Des. May 2009, 131(5): 051007.
Published Online: April 6, 2009
... optimization of large-scale structures that consists of two re-analysis methods, one for estimating the deterministic vibratory response and another for estimating the probability of the response exceeding a certain level. The deterministic re-analysis method can analyze efficiently large-scale finite-element...