method enables readers to: _efficiently design higher-quality, lower cost objects with less metal requirements, vibration and noise, and with lower dynamic loads and energy consumption _determine optimal solutions, regardless of the number of criteria involved, and to identify relationships among different criteria and between criteria and design variables _accurately account for discrepancies between theoretical and actual characteristics, using a special set of adequacy criteria _determine optimal design variables for complex finite element models In addition, the book helps readers:…mehr
method enables readers to: _efficiently design higher-quality, lower cost objects with less metal requirements, vibration and noise, and with lower dynamic loads and energy consumption _determine optimal solutions, regardless of the number of criteria involved, and to identify relationships among different criteria and between criteria and design variables _accurately account for discrepancies between theoretical and actual characteristics, using a special set of adequacy criteria _determine optimal design variables for complex finite element models In addition, the book helps readers: _enhance the potential of the PSI method with theoretical investigations and algorithms for approximating the feasible solutions set and Pareto optimal set _facilitate proficient problem-solving by incorporating recently obtained results from the theory of uniformly distributed sequences _evaluate design procedures by observing examples ranging from machine tools and agricultural equipment to automobiles and aviation This practical, in-depth treatment of multicriteria optimization and engineering is essential for engineers and designers working in research and development of manufacturing machines, mechanisms and structures. It is also an important text for students of applied mathematics, mechanical engineering, optimal control and operations research.
1 Multicriteria Optimization and the Parameter Space Investigation Method.- 1-1. Engineering Optimization Problems: Their Features 1 and Formulation.- 1-2. Systematic Search in Multidimensional Domains by Using Uniformly Distributed Sequences.- 1-3. Parameter Space Investigation (PSI) Method.- 1-4. Example 1: The Choice of the Optimal Design Variables of an Oscillator.- 1-5. Example 2: Automotive Valve Gear Design.- 1-6. Specific Features of the Optimization Problems Formulation Using Finite Element Models.- 2 Approximation of Feasible Solutions and Pareto Optimal Sets.- 2-1. Approximation of a Feasible Solutions Set.- 2-2. The Pareto Optimal Set Approximation.- 2-3. Example of Approximation of a Feasible Solutions Set.- 3 Decomposition and Aggregation of Large-Scale Systems.- 3-1. Decomposition Methods.- 3-2. Construction of Hierarchically Consistent Solutions.- 3-3. Example: The Construction of Consistent Solutions to the Problem of Calculation of a Car for Shock Protection.- 4 Multicriteria Identification of Mathematical Models and Problems of Operational Development.- 4-1. Problems of Multicriteria Identification and Their Features.- 4-2. Parameter Space Investigation Method in Problems of Multicriteria Identification.- 4-3. Example 1: Multicriteria Identification of the Parameters of a Slotter.- 4-4. Operational Development of Prototypes.- 4-5. Example 2: Operational Development of a Vehicle.- 5 Determination of Significant Design Variables.- 5-1. Evaluating Performance Criteria Sensitivity Through Regression Analysis Technique.- 5-2. The Energy Balance Principle for Determining the Dependence of Criteria on Design Variables.- 5-3. Example: Determination of Sensitivity of the Cylindrical Grinding Machine Structure Criteria.-5-4. Weakly Coupled Oscillatory Systems.- 6 Examples of Multicriteria Optimization of Machines and Other Complex Systems.- 6-1. Vibration Machines Optimization.- 6-2. Truck Frame Design.- 6-3. Optimization of Metal-Cutting Machine Tools.- 6-4. Some Other Problems.- Conclusion.- Addendum Uniformly Distributed Sequences and Nets in Multidimensional Parameter Space.- A-4. Nets with Improved Uniformity Characteristics.- References.
1 Multicriteria Optimization and the Parameter Space Investigation Method.- 1-1. Engineering Optimization Problems: Their Features 1 and Formulation.- 1-2. Systematic Search in Multidimensional Domains by Using Uniformly Distributed Sequences.- 1-3. Parameter Space Investigation (PSI) Method.- 1-4. Example 1: The Choice of the Optimal Design Variables of an Oscillator.- 1-5. Example 2: Automotive Valve Gear Design.- 1-6. Specific Features of the Optimization Problems Formulation Using Finite Element Models.- 2 Approximation of Feasible Solutions and Pareto Optimal Sets.- 2-1. Approximation of a Feasible Solutions Set.- 2-2. The Pareto Optimal Set Approximation.- 2-3. Example of Approximation of a Feasible Solutions Set.- 3 Decomposition and Aggregation of Large-Scale Systems.- 3-1. Decomposition Methods.- 3-2. Construction of Hierarchically Consistent Solutions.- 3-3. Example: The Construction of Consistent Solutions to the Problem of Calculation of a Car for Shock Protection.- 4 Multicriteria Identification of Mathematical Models and Problems of Operational Development.- 4-1. Problems of Multicriteria Identification and Their Features.- 4-2. Parameter Space Investigation Method in Problems of Multicriteria Identification.- 4-3. Example 1: Multicriteria Identification of the Parameters of a Slotter.- 4-4. Operational Development of Prototypes.- 4-5. Example 2: Operational Development of a Vehicle.- 5 Determination of Significant Design Variables.- 5-1. Evaluating Performance Criteria Sensitivity Through Regression Analysis Technique.- 5-2. The Energy Balance Principle for Determining the Dependence of Criteria on Design Variables.- 5-3. Example: Determination of Sensitivity of the Cylindrical Grinding Machine Structure Criteria.-5-4. Weakly Coupled Oscillatory Systems.- 6 Examples of Multicriteria Optimization of Machines and Other Complex Systems.- 6-1. Vibration Machines Optimization.- 6-2. Truck Frame Design.- 6-3. Optimization of Metal-Cutting Machine Tools.- 6-4. Some Other Problems.- Conclusion.- Addendum Uniformly Distributed Sequences and Nets in Multidimensional Parameter Space.- A-4. Nets with Improved Uniformity Characteristics.- References.
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