Sensitivity algorithms for an inverse design problem involving a shock wave

1994 ◽  
Author(s):  
R. Narducci ◽  
B. Grossman ◽  
R. Haftka
Keyword(s):  
Shock Wave ◽  
Design Problem ◽  
Inverse Design ◽  
Inverse Design Problem

An Inverse (Design) Problem Solution Method for the Blade Cascade Flow on Streamsurface of Revolution

1986 ◽  
Vol 108 (2) ◽  
pp. 194-199 ◽  
Author(s):  
Naixing Chen ◽  
Fengxian Zhang ◽  
Weihong Li
Keyword(s):  
Stream Function ◽  
Design Problem ◽  
The Other ◽  
Inverse Design ◽  
Convergence Criterion ◽  
Geometric Form ◽  
Metric Tensor ◽  
Blade Cascade ◽  
Cascade Flow ◽  
Inverse Design Problem

On the basis of the fundamental equations of aerothermodynamics a method for solving the inverse (design) problem of blade cascade flow on the blade-to-blade streamsurface of revolution is suggested in the present paper. For this kind of inverse problem the inlet and outlet flow angles, the aerothermodynamic parameters at the inlet, and the other constraint conditions are given. Two approaches are proposed in the present paper: the suction-pressure-surface alternative calculation method (SSAC) and the prescribed streamline method (PSLM). In the first method the metric tensor (blade channel width) is obtained by alternately fixing either the suction or pressure side and by revising the geometric form of the other side from one iteration to the next. The first step of the second method is to give the geometric form of one of the streamlines. The velocity distribution or the mass flow rate per unit area on that given streamline is estimated approximately by satisfying the blade thickness distribution requirement. The stream function in the blade cascade channel is calculated by assuming initial suction and pressure surfaces and solving the governing differential equations. Then, the distribution of metric tensor on the given streamline is specified by the stream function definition. It is evident that the square root of the metric tensor is a circumferential width of the blade cascade channel for the special nonorthogonal coordinate system adopted in the present paper. The iteration procedure for calculating the stream function is repeated until the convergence criterion of the metric tensor is reached. A comparison between the solutions with and without consideration of viscous effects is also made in the present paper.

scholarly journals Solving the Inverse Design Problem of Electrical Fuse With Machine Learning

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 74137-74144
Author(s):  
Xinjian Huang ◽  
Ziniu Li ◽  
Zhiyuan Liu ◽  
Bin Xiang ◽  
Yingsan Geng ◽  
...  
Keyword(s):  
Machine Learning ◽  
Design Problem ◽  
Inverse Design ◽  
Inverse Design Problem

An Inverse Geometry Design Problem in Optimizing Hull Surfaces

1998 ◽  
Vol 42 (02) ◽  
pp. 79-85
Author(s):  
Cheng-Hung Huang ◽  
Cheng-Chia Chiang ◽  
Shean-Kwang Chou
Keyword(s):  
Inverse Problem ◽  
Pressure Distribution ◽  
Design Problem ◽  
Inverse Design ◽  
Control Points ◽  
Surface Geometry ◽  
Geometry Design ◽  
Spline Surface ◽  
Surface Method ◽  
Inverse Design Problem

The technique of the inverse design problem for optimizing the shape of a bow from a specified pressure distribution is presented. This desired pressure distribution can be obtained by modifying the existing pressure distribution of the parent ship. The surface geometry of the ship is generated using the B-spine surface method which enables the shape of the hull to be completely specified using only a small number of parameters (i.e. control points). The technique of parameter estimation for the inverse problem is thus chosen. Results show that the accuracy of the final desired ship form depends on the number of polygons used in 6-spline surface fitting; only when enough polygons are used can the good final geometry that was calculated based on a given pressure distribution be obtained.

Using whole annealing genetic algorithms for the turbine cascade inverse design problem

1999 ◽  
Vol 8 (1) ◽  
pp. 32-37 ◽  
Author(s):  
Jun Li ◽  
Zhenping Feng ◽  
Hidetoshi Nishida ◽  
Nobuyuki Satofuka
Keyword(s):  
Genetic Algorithms ◽  
Design Problem ◽  
Inverse Design ◽  
Turbine Cascade ◽  
Inverse Design Problem

Orthonormality and Spectral Analysis for Robotics and Astrodynamics

2010 ◽  
Vol 164 ◽  
pp. 392-404
Author(s):  
Radu Dan Rugescu ◽  
Daniele Mortari ◽  
Stefan Staicu ◽  
Sorin Aldea
Keyword(s):  
Spectral Analysis ◽  
Design Problem ◽  
Rotation Matrix ◽  
Inverse Design ◽  
Rotational Displacement ◽  
Transform Matrix ◽  
Inverse Design Problem ◽  
Solid Bodies

A rigid transform of the E3 space into itself stands as the basis of a complete description of mechanical motions of solid bodies, where the orthogonal and normalized character (orthonormality) of the transform matrix are used as a postulate. However, the orthonormality is in fact a consequence of the condition of rigidity. The demonstration is outlined through the spectral analysis for application in the engineering of robots and astrodynamics. The problem posed is to directly find, in a general and confident manner, the elements of the rotation matrix when the direction and magnitude of the rotational displacement are given, which is an inverse design problem. Previously solved in 2-D, this problem is now extended to 3-D problems of mechanics and an implicit suggestion is made for the n-D mechanics.

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