...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...

... 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...

...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...

... such that the probability of the displacement being less than a threshold level is greater than a critical value. The threshold displacement D 0 is set to be 5 mm. The RBRDO problem is thus formulated as min r ̃ , t ̃ f = ( LH - 2 π r ̃ 2 ) t ̃ s . t...

...). 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...

..., 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...

.... 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...

... 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...

... 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...

... 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...

...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...

... (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...

... 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...

... 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...

... 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. The minimization of ( f...

... methods. Several examples are used to demonstrate the proposed methodology. 11 08 2009 11 03 2010 20 05 2010 20 05 2010 design engineering gradient methods Monte Carlo methods optimisation probability random processes reliability theory sampling methods...

... ∗ ) is the performance percentile f α when the reliability index β is satisfied. In other words, the probability that the objective is less than or equal to f α is equal to Φ ( β ) . Φ is the standard normal cumulative distribution function. Since X 1...

...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...

.... 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...

... 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...