The reduced space Sequential Quadratic Programming (SQP) method for calculating the worst resonance response of nonlinear systems

2018 ◽  
Vol 425 ◽  
pp. 301-323 ◽  
Author(s):  
Haitao Liao ◽  
Wenwang Wu ◽  
Daining Fang
Keyword(s):  
Nonlinear Systems ◽  
Quadratic Programming ◽  
Sequential Quadratic Programming ◽  
Sqp Method ◽  
Resonance Response ◽  
Reduced Space

The Reduced Space Shooting Method for Calculating the Peak Periodic Solutions of Nonlinear Systems

2018 ◽  
Vol 13 (6) ◽  
Author(s):  
Haitao Liao ◽  
Wenwang Wu
Keyword(s):  
Nonlinear Systems ◽  
Optimization Problem ◽  
Shooting Method ◽  
Hybrid Approach ◽  
Equality Constraints ◽  
Bound Constraints ◽  
Sqp Method ◽  
Decomposition Scheme ◽  
Reduced Space ◽  
Nonlinear Equality

A hybrid approach which combines the reduced sequential quadratic programing (SQP) method with the shooting method is proposed to search the worst resonance response of nonlinear systems. The shooting method is first employed to construct the nonlinear equality constraints for the constrained optimization problem. Then, the complex optimization problem is simplified and solved numerically by the reduced SQP method. By virtue of the coordinate basis decomposition scheme which exploits the gradients of nonlinear equality constraints, the nonlinear equality constraints are eliminated, resulting in a simple optimization problem subject to bound constraints. Moreover, the second-order correction (SOC) technique is adopted to overcome Maratos effect. The novelty of the approach described lies in the capability to efficiently handle nonlinear equality constraints. The effectiveness of the proposed algorithm is demonstrated by two benchmark examples seen in the literature.

scholarly journals Dynamic Economic Dispatch Using Hybrid DE-SQP for Generating Units with Valve-Point Effects

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
A. M. Elaiw ◽  
X. Xia ◽  
A. M. Shehata
Keyword(s):  
Quadratic Programming ◽  
Differential Evolution ◽  
Sequential Quadratic Programming ◽  
Economic Dispatch ◽  
Optimal Solution ◽  
Fine Tuning ◽  
Sqp Method ◽  
Test Systems ◽  
Global Optimizer ◽  
Dynamic Economic Dispatch

This paper presents hybrid differential evolution (DE) and sequential quadratic programming (SQP) for solving the dynamic economic dispatch (DED) problem for generating units with valve-point effects. DE is used as a global optimizer and SQP is used as a fine tuning to determine the optimal solution at the final. The feasibility of the proposed method is validated with five-and ten-unit test systems. Results obtained by DE-SQP method are compared with other techniques in the literature.

Vibration Reduction by Optimal Design of Powertrain Mounting System of Heavy Truck Based on SQP Method

2012 ◽  
Vol 625 ◽  
pp. 121-124
Author(s):  
Hui Jing ◽  
Cong Li ◽  
Fu Yun Liu ◽  
Bing Kuang
Keyword(s):  
Optimal Design ◽  
Quadratic Programming ◽  
Vibration Control ◽  
Sequential Quadratic Programming ◽  
Optimization Technique ◽  
Vibration Reduction ◽  
Optimization Techniques ◽  
Sqp Method ◽  
Heavy Truck

Heavy truck needs to use the vibration reduction technology to improve its quality. Nowadays, it is a useful and effective way for vibration reduction that by employing the proper Powertrain Mounting Systems (PMS) to reduce the vibration. One useful method to develop more effective mounting systems is through optimization techniques. Sequential Quadratic Programming (SQP) is an effective optimization technique. In this paper, design optimization of powertrain mounting system based on SQP method for vibration control is presented. The optimization objective is to find the highest decoupling ratio of the each mount while selecting the stiffness and orientations of individual mount. The constraints are imposed to keep the desired decoupled ratio in each orientation and the frequency corresponding to the decoupled ratio. A case study is given to validate the proposed method. The result shows that the value of optimized system, such as decoupling ratio, is improved significantly. Therefore, the method proposed in this paper is effective for the optimization of powertrain mounting system.

scholarly journals Optimization of Rail Profiles to Improve Vehicle Running Stability in Switch Panel of High-Speed Railway Turnouts

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Ping Wang ◽  
Xiaochuan Ma ◽  
Jian Wang ◽  
Jingmang Xu ◽  
Rong Chen
Keyword(s):  
Quadratic Programming ◽  
Contact Force ◽  
Sequential Quadratic Programming ◽  
High Speed ◽  
Lateral Displacement ◽  
Dynamic Interaction ◽  
Lateral Acceleration ◽  
Sqp Method ◽  
High Speed Railway ◽  
Lateral Displacements

A method for optimizing rail profiles to improve vehicle running stability in switch panel of high-speed railway turnouts is proposed in this paper. The stock rail profiles are optimized to decrease the rolling radii difference (RRD). Such characteristics are defined through given rail profiles, and the target rolling radii difference is defined as a function of lateral displacements of wheel set. The improved sequential quadratic programming (SQP) method is used to generate a sequence of improving profiles leading to the optimum one. The wheel-rail contact geometry and train-turnout dynamic interaction of the optimized profiles and those of nominal profiles are calculated for comparison. Without lateral displacement of wheel set, the maximum RRD in relation to a nominal profile will be kept within 0.5 mm–1 mm, while that in relation to an optimized profile will be kept within 0.3 mm–0.5 mm. For the facing and trailing move of vehicle passing the switch panel in the through route, the lateral wheel-rail contact force is decreased by 34.0% and 29.9%, respectively, the lateral acceleration of car body is decreased by 41.9% and 40.7%, respectively, and the optimized profile will not greatly influence the vertical wheel-rail contact force. The proposed method works efficiently and the results prove to be quite reasonable.

Optimization of Cold-Formed Channel Sections Using Imperialist Competitive Algorithm

2012 ◽  
Vol 166-169 ◽  
pp. 493-496
Author(s):  
Roya Kohandel ◽  
Behzad Abdi ◽  
Poi Ngian Shek ◽  
M.Md. Tahir ◽  
Ahmad Beng Hong Kueh
Keyword(s):  
Sequential Quadratic Programming ◽  
Optimization Problems ◽  
Imperialist Competitive Algorithm ◽  
Computational Method ◽  
Compression Force ◽  
Sqp Method ◽  
Competitive Algorithm ◽  
Different Types ◽  
Formed Channel ◽  
Good Agreement

The Imperialist Competitive Algorithm (ICA) is a novel computational method based on the concept of socio-political motivated strategy, which is usually used to solve different types of optimization problems. This paper presents the optimization of cold-formed channel section subjected to axial compression force utilizing the ICA method. The results are then compared to the Genetic Algorithm (GA) and Sequential Quadratic Programming (SQP) algorithm for validation purpose. The results obtained from the ICA method is in good agreement with the GA and SQP method in terms of weight but slightly different in the geometry shape.

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