An inverse solution method for nonlinear problems using image data

The kinematics equation of the handling robot with six free degrees has multiple sets inverse solution, and the robot system only can choose one optimized solutions to drive the robot to work. The kinematics model of the robot is established by D-H method, and the inverse solution is derived by an algebraic method. The best flexibility principle was introduced to determine a set of optimal solutions from 8 sets of feasible solutions. The correctness of robot inverse solution method is verified through a set of calculation examples.

Download Full-text

Solution method for nonlinear problems with multiple critical points

AIAA Journal ◽

10.2514/3.10529 ◽

1990 ◽

Vol 28 (12) ◽

pp. 2110-2116 ◽

Cited By ~ 202

Author(s):

Yeong-Bin Yang ◽

Ming-Shan Shieh

Keyword(s):

Critical Points ◽

Solution Method ◽

Nonlinear Problems

Download Full-text

DYNAMIC STABILITY OF CABLE-STAYED BRIDGE PYLONS

International Journal of Structural Stability and Dynamics ◽

10.1142/s021945540800282x ◽

2008 ◽

Vol 08 (04) ◽

pp. 627-643 ◽

Cited By ~ 10

Author(s):

G. T. MICHALTSOS ◽

I. G. RAFTOYIANNIS ◽

T. G. KONSTANTAKOPOULOS

Keyword(s):

Dynamic Stability ◽

Dynamic Load ◽

Solution Method ◽

Bridge Deck ◽

Nonlinear Problems ◽

Time Dependent ◽

Metal Structures ◽

Cable Stayed Bridge ◽

The Stability ◽

Cable Stayed Bridges

This paper deals with the stability of the pylons of a cable-stayed bridge under the action of time-dependent loads, due to the vibration of the bridge deck. The stability of such problems of cable-stayed bridges is solved by a technique developed in the Laboratory of Metal Structures and Steel Bridges, of National Technical University of Athens (NTUA), as well as Bolotin's technique for the solution of nonlinear problems of dynamic stability. Three cases are studied: pylons with damping, pylons under forced vibration, and pylons subjected to an arbitrary external dynamic load. Useful relations are established by the aforementioned solution method, examples for a variety of pylons are presented, and interesting results regarding the stability of each case are given in diagrams.

Download Full-text

A novel semi-inverse solution method for elastoplastic torsion of heat treated rods

Meccanica ◽

10.1007/s11012-009-9256-5 ◽

2009 ◽

Vol 45 (3) ◽

pp. 375-392 ◽

Cited By ~ 5

Author(s):

Majid Baniassadi ◽

Akbar Ghazavizadeh ◽

Rouhollah Rahmani ◽

Karen Abrinia

Keyword(s):

Solution Method ◽

Inverse Solution ◽

Heat Treated ◽

Elastoplastic Torsion

Download Full-text

A two steps solution approach to solving large nonlinear models: application to a problem of conjunctive use

Water Science & Technology ◽

10.2166/wst.2011.810 ◽

2011 ◽

Vol 64 (12) ◽

pp. 2492-2499 ◽

Cited By ~ 1

Author(s):

J. Vieira ◽

M. C. Cunha

Keyword(s):

Large Scale ◽

Solution Method ◽

Groundwater Resources ◽

Computation Time ◽

Critical Factor ◽

Nonlinear Problems ◽

Conjunctive Use ◽

Single Step ◽

Complete Model ◽

Solution Approach

This article describes a solution method of solving large nonlinear problems in two steps. The two steps solution approach takes advantage of handling smaller and simpler models and having better starting points to improve solution efficiency. The set of nonlinear constraints (named as complicating constraints) which makes the solution of the model rather complex and time consuming is eliminated from step one. The complicating constraints are added only in the second step so that a solution of the complete model is then found. The solution method is applied to a large-scale problem of conjunctive use of surface water and groundwater resources. The results obtained are compared with solutions determined with the direct solve of the complete model in one single step. In all examples the two steps solution approach allowed a significant reduction of the computation time. This potential gain of efficiency of the two steps solution approach can be extremely important for work in progress and it can be particularly useful for cases where the computation time would be a critical factor for having an optimized solution in due time.

Download Full-text