Extremum response surface method of reliability analysis on two-link flexible robot manipulator

Zhang, Chun-yi; Bai, Guang-Chen

doi:10.1007/s11771-012-0978-5

Cited by 53 publications

(47 citation statements)

References 18 publications

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“…Many attempts to solve the effects of the uncertainties have led to the development of the other probabilistic analysis method-response surface method (RSM, also called surrogate model), and it was widely employed in many fields [15][16][17][18][19][20]. Currently, RSM is effective to continuously improve the accuracy and efficiency in structural reliability by reducing the number of expensive finite element analysis [21][22][23][24][25]. The typical surrogate models include polynomial response surface method [15,16,21,22] and support vector machine (SVM) [25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Dynamic probabilistic design approach of high-pressure turbine blade-tip radial running clearance

Fei

Choy

et al. 2016

Nonlinear Dyn

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To develop the high performance and high reliability of turbomachinery just like an aeroengine, distributed collaborative time-varying least squares support vector machine (LSSVM) (called as DC-T-LSSVM) method was proposed for the dynamic probabilistic analysis of high-pressure turbine bladetip radial running clearance (BTRRC). For structural transient probabilistic analysis, time-varying LSSVM (called as T-LSSVM) method was developed by improving LSSVM, and the mathematical model of the T-LSSVM was established. The mathematical model of DC-T-LSSVM was built based on T-LSSVM and distributed collaborative strategy. Through the dynamic probabilistic analysis of BTRRC with respect to the nonlinearity of material property and the dynamics of thermal load and centrifugal force load, the probabilistic distributions and features of different influential parameters on BTRRC, such as rotational speed, the temperature of gas, expansion coefficients, the surface coefficients of heat transfer and the deformations of disk, blade and casing, are obtained. The deformations of turbine disk, blade and casing, the rotational speed and the temperature of gas significantly influence BTRRC. Turbine disk and blade perform the positive effects on the BTRRC, while turbine casing has the negative impact. The comparison of four methods (Monte Carlo method, T-LSSVM, DCERSM and DC-T-LSSVM) reveals that the DC-T-LSSVM reshapes the possibility of the probabilistic analysis of complex turbomachinery and improves the computational efficiency while preserving the accuracy. The efforts offer a useful insight for rapidly designing and optimizing the BTRRC dynamically from a probabilistic perspective.

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Section: Introductionmentioning

confidence: 99%

Dynamic probabilistic design approach of high-pressure turbine blade-tip radial running clearance

Fei

Choy

et al. 2016

Nonlinear Dyn

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“…The allowable stress of the blade is There are six working conditions in the operating process of an aircraft, which follows this trajectory: start, slow, maximum, continuous, take off, climb cruise. In order to simplify the calculation, the climbing phase, during which the blade stress and deformation are greatest, is selected as the calculation point [4]. To study the influence of the fuzzy limit state on calculation results, the relationship between positional parameter Z a of the membership function and the mean square deviation σ z is defined as follows:…”

Section: Examplementioning

confidence: 99%

“…Zhang and G.C. Bai [4] established the Extremum Response Surface Method (ERSM) by using multiple dynamic parameters as random input variables. In this method, the ERSM is demonstrated as a highly accurate and highly efficient method in the reliability analysis of a two-link flexible robot manipulator.…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis of turbine blades based on fuzzy response surface method

Pan

Wenlong

Zhang

et al. 2015

IFS

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Abstract.To improve the precision of reliability analysis on turbine blades, the fuzzy response surface method of reliability analysis is proposed by considering the fuzziness of the input variables and the vagueness of the limit state variables. Initially, the fuzzy basic variables were converted into equivalent random variables according to the method of equivalent transformation. Additionally, the mathematic model of the fuzzy response surface for structural reliability analysis was established, based on the quadratic polynomial response surface function. The mean value and variance of the blade stress and radial deformation were obtained by using the Monte-Carlo method based on generous linkage sampling to the model. Finally, the probability of failure and fuzzy random reliability index were calculated based on the probability integral method. Results indicate that the reliability probability of the blade is 97.665%, when the allowable stress and deformation are 390 MPa and 0.195 mm, respectively. It is demonstrated that with an increase of the fuzzy coefficient, the blade reliability index decreases; thus, the random reliability of the blade is slightly higher than the fuzzy reliability.

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“…Finally they made the boom move with expected rotation angle and tip trajectory. Zhang et al did control to a flexible boom driven by hydraulic cylinder and had researched the vibration depression of the system [21,22]. The safety and diagnostic applied to concrete displacing boom are done by Ambrosio et al Then Resta et al established a 1 : 3 reduced model of a mobile concrete pump.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of Truck Mounted Concrete Pump Boom by Virtual Prototyping

Ren

et al. 2017

Journal of Robotics

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By far there is lack of research on different working conditions between rigid and flexible dynamics of truck mounted concrete pump booms. First a 3D model has been established by using virtual prototyping technology of a 37 m long boom in Pro/Engineering software. Then the rigid body simulation model has been built. Next modal superimposition method is adopted to change the 4 rigid body booms into flexible ones. Kinematics law and dynamic characteristics of 4 common working conditions had been studied then. Next tip displacement and the first boom hydraulic cylinder force of the 4 working conditions between rigid and flexible models have been researched. Furthermore the first natural frequencies of the structure have been calculated. The results show that the frequency of the horizontal condition has the lowest of all and the roof condition has the largest of all. Besides the cylinder forces of the flexible model are larger than the corresponding rigid ones because of the flexible boom vibration. Finally an experiment has been done on a boom test rig which proved that the established simulation model is reasonable and the frequency results are correct. All of these provide design reference to mechanical manipulator as well as reducing product development cost of such mechanism.

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Extremum response surface method of reliability analysis on two-link flexible robot manipulator

Cited by 53 publications

References 18 publications

Dynamic probabilistic design approach of high-pressure turbine blade-tip radial running clearance

Dynamic probabilistic design approach of high-pressure turbine blade-tip radial running clearance

Reliability analysis of turbine blades based on fuzzy response surface method

Modeling and Analysis of Truck Mounted Concrete Pump Boom by Virtual Prototyping

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