ME TU Mechanical Engineering Department Faculty of Engineering

ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University ME 654 OPTIMUM DESIGN OF MECHANICAL PARTS ����� 6 ������� ดลยโชต ชลศกษ Mechanical Engineering Department Thammasat University

����� 6. 1 ลกษณะทางเรขาคณตของปญหา 6. 2 ตวคณลาก รานจ 6. 3 เงอนไข Karush-Khun-Tucker (KKT) ME 654 Module 6 : Constrained Optimization 2 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

6. 1 ME 654 �������� Module 6 : Constrained Optimization 3 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

�������� – Feasible Point • คอจดทเงอนไขทงหมดเปนจรง • จดตำทสดตองเปนจดทเปนไปได ME 654 Module 6 : Constrained Optimization 4 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� 6. 1 ME 654 Module 6 : Constrained Optimization 5 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� 6. 2 ME 654 Module 6 : Constrained Optimization 6 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� 6. 3 ME 654 Module 6 : Constrained Optimization 7 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� 6. 4 ME 654 Module 6 : Constrained Optimization 8 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� 6. 4 (2) ME 654 Module 6 : Constrained Optimization 9 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� 6. 4 (3) ME 654 Module 6 : Constrained Optimization 10 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

������ ME 654 Module 6 : Constrained Optimization 11 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

������� (2) ME 654 Module 6 : Constrained Optimization 12 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

6. 2 ME 654 ����� Module 6 : Constrained Optimization 13 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� (2) ME 654 Module 6 : Constrained Optimization 14 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

����� (2) Lagrange multiplier ME 654 Module 6 : Constrained Optimization 15 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

������ สำหรบปญหาทมขอจำกดแบบเทากบ กำหนดให จดตำทสดเกดขนเมอ ME 654 Module 6 : Constrained Optimization 16 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

������� 6. 5 ME 654 Module 6 : Constrained Optimization 17 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 5 (2) ME 654 Module 6 : Constrained Optimization 18 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 5 (3) ME 654 Module 6 : Constrained Optimization 19 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

6. 3 ���� Karush-Khun-Tucker การใชฟงกชนลาก รานจ กบปญหาทมขอจำกดแบบไม ตองใช ME 654 Module 6 : Constrained Optimization 20 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

��������� ������� ME 654 Module 6 : Constrained Optimization 21 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� KKT (1) ME 654 Module 6 : Constrained Optimization 22 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� KKT (2) ME 654 Module 6 : Constrained Optimization 23 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

Switching Conditions m ME 654 Module 6 : Constrained Optimization 24 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

������� 6. 6 ME 654 Module 6 : Constrained Optimization 25 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 6 (2) ME 654 Module 6 : Constrained Optimization 26 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 6 (3) ME 654 Module 6 : Constrained Optimization 27 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 6 (4) ME 654 Module 6 : Constrained Optimization 28 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 6 (5) ME 654 Module 6 : Constrained Optimization 29 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

������� 6. 7 ME 654 Module 6 : Constrained Optimization 30 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (2) ME 654 Module 6 : Constrained Optimization 31 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (3) ME 654 Module 6 : Constrained Optimization 32 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (4) ME 654 Module 6 : Constrained Optimization 33 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (5) ME 654 Module 6 : Constrained Optimization 34 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (6) ME 654 Module 6 : Constrained Optimization 35 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (7) ME 654 Module 6 : Constrained Optimization 36 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (8) ME 654 Module 6 : Constrained Optimization 37 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (9) ME 654 Module 6 : Constrained Optimization 38 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (10) ME 654 Module 6 : Constrained Optimization 39 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University

���� 6. 7 (11) ME 654 Module 6 : Constrained Optimization 40 ME TU Mechanical Engineering Department Faculty of Engineering, Thammasat University