Sensitivity Analysis and Optimal Design of a Mechanical System with Intermittent Motion

1978 ◽  
Vol 100 (3) ◽  
pp. 492-498 ◽  
Author(s):  
R. C. Huang ◽  
E. J. Haug ◽  
J. G. Andrews
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Mechanical System ◽  
Intermittent Motion

Multi-Object Multi-Discipline Probabilistic Design of High-Pressure Turbine Blade-Tip Radial Running Clearance

2013 ◽  
Vol 572 ◽  
pp. 551-554
Author(s):  
Wen Zhong Tang ◽  
Cheng Wei Fei ◽  
Guang Chen Bai
Keyword(s):  
Mathematical Model ◽  
High Pressure ◽  
Optimal Design ◽  
Mechanical System ◽  
High Accuracy ◽  
Probabilistic Design ◽  
High Pressure Turbine ◽  
Surface Method ◽  
Blade Tip ◽  
The Mathematical Model

For the probabilistic design of high-pressure turbine (HPT) blade-tip radial running clearance (BTRRC), a distributed collaborative response surface method (DCRSM) was proposed, and the mathematical model of DCRSM was established. From the BTRRC probabilistic design based on DCRSM, the static clearance δ=1.865 mm is demonstrated to be optimal for the BTRRC design considering aeroengine reliability and efficiency. Meanwhile, DCRSM is proved to be of high accuracy and efficiency in the BTRRC probabilistic design. The present study offers an effective way for HPT BTRRC dynamic probabilistic design and provides also a promising method for the further probabilistic optimal design of complex mechanical system.

Design sensitivity analysis for optimal design of geometrically nonlinear lattice structures

2018 ◽  
Vol 168 ◽  
pp. 915-928 ◽  
Author(s):  
Ji-Yang Fu ◽  
Ben-Gang Wu ◽  
Jiu-Rong Wu ◽  
Ting Deng ◽  
Yong-Lin Pi ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Geometrically Nonlinear ◽  
Lattice Structures ◽  
Nonlinear Lattice

A Hybrid Shape Optimization Method Based on Implicit Differentiation and Node Removal Techniques

1993 ◽  
Author(s):  
P. Y. Shim ◽  
S. Mannoochehri
Keyword(s):  
Sensitivity Analysis ◽  
Finite Element ◽  
Optimal Design ◽  
Design Methodology ◽  
Structural Integrity ◽  
Boundary Elements ◽  
Programming Algorithm ◽  
Element Analysis ◽  
Node Removal ◽  
Removal Technique

Abstract This paper presents a hybrid shape optimal design methodology using an implicit differentiation approach for sensitivity analysis and a node removal technique for shape alteration. The approach presented attempts to overcome the weaknesses inherent in each individual technique. The basic idea is to combine the sensitivity analysis, which forms the analytical basis for the algorithm, and a node removal technique, which grossly modifies the shape without the need for a remeshing after each iteration. The sensitivity analysis is based on the finite element equilibrium equation and the implicit differentiation technique. It examines the effect positional changes of the boundary nodes have on the stress values. Using the sensitivity results, a sequential linear programming algorithm is utilized to determine optimum positions of the boundary nodes. These optimization results are provided as inputs to an algorithm that decides which boundary nodes should be removed. By removing boundary nodes, the boundary elements change to either a triangular or a non-existent type. This shape modification procedure starts from the boundary elements and moves toward the internal elements. Only two iterations of finite element analysis are required to modify one boundary layer. To maintain the structural integrity and the connectivity of the elements in the model, a connectivity check is performed after each iteration. Three design examples are given to illustrate the accuracy and the steps involved in the proposed optimal design methodology.

Analysis and Optimal Design of Spatial Mechanical Systems

1987 ◽  
Author(s):  
H. Ashrafeiuon ◽  
N. K. Mani
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Dynamic Analysis ◽  
Equations Of Motion ◽  
Mechanical Systems ◽  
Design Sensitivity ◽  
General Purpose ◽  
Design Sensitivity Analysis ◽  
Analysis And Design ◽  
Spatial Systems

Abstract This paper presents a new approach to optimal design of large multibody spatial mechanical systems. This approach uses symbolic computing to generate the necessary equations for dynamic analysis and design sensitivity analysis. Identification of system topology is carried out using graph theory. The equations of motion are formulated in terms of relative joint coordinates through the use of velocity transformation matrix. Design sensitivity analysis is carried out using the Direct Differentiation method applied to the relative joint coordinate formulation for spatial systems. Symbolic manipulation programs are used to develop subroutines which provide information for dynamic and design sensitivity analysis. These subroutines are linked to a general purpose computer program which performs dynamic analysis, design sensitivity analysis, and optimization. An example is presented to demonstrate the efficiency of the approach.

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