Optimal design based on probability approach and fracture mechanics

International Conference on Mechanical Engineering, Automation and Control Systems 2018

Pitukhin, A.V.^1 ; Skobtsov, I.G.^1

Petrozavodsk State University, 33, Lenin Str., Petrozavodsk

185910, Russia^1

关键词: Analytical equations;    Functional constraints;    Interval reductions;    Probability approach;    Quasi-brittle fracture;    Random search method;    Reliability functions;    Stationary random process;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/560/1/012085/pdf
DOI  :  10.1088/1757-899X/560/1/012085

来源: IOP

【 摘 要 】

This paper deals with the statistical fracture mechanical method for the optimal design of forest machine components. The problem of optimal design includes the choice of the objective function and independent design variables and establishment of the system limits. The objective function is determined as the mean total cost that includes the initial cost and the cost of failure according to the failure probability. A quasi-brittle fracture occurs under the influence of the stationary random process of loading. Analytical equations of reliability function estimation are obtained. The algorithm of the random search method includes an interval reduction with regard to zone and functional constraints. The approach to the optimal design problem solution can be applied to obtain optimal geometrical sizes and permissible limit defect values of machine components.