- Lecturer
- Kasai Kazuhiko
- Place
- Tue5-6(G324)
- Credits
- Lecture2 Exercise0 Experiment0
- Code
- 92023
- Syllabus updated
- 2013/3/21
- Lecture notes updated
- 2013/3/21
- Semester
- Spring Semester
Outline of lecture
讒矩譚先侭繝ｻ驛ｨ譚舌ｮ髱樒ｷ壼ｽ｢諤ｧ迥ｶ縺ｨ縺薙ｌ繧峨ｮ讒矩迚ｩ謖吝虚縺ｸ縺ｮ蠖ｱ髻ｿ繧定ｪｬ譏弱＠ｼ檎樟莉｣讒矩迚ｩ縺ｮ險ｭ險医↓驥崎ｦ√〒縺ゅｋ譚先侭髱樒ｷ壼ｽ｢謖吝虚繧定諷ｮ縺励◆遞ｮ縲縺ｮ髱咏噪繝ｻ蜍慕噪隗｣譫先婿豕輔↓縺､縺縺ｦ隰幄ｿｰ縺吶ｋ縲ゅ∪縺滂ｼ碁撼邱壼ｽ｢諤ｧ繧堤ｩ肴･ｵ逧縺ｫ蛻ｩ逕ｨ縺暦ｼ梧ｧ矩迚ｩ縺ｮ諤ｧ閭ｽ縺ｨ邨梧ｸ域ｧ繧帝ｫ倥ａ繧玖ｨｭ險域婿豕輔↓縺､縺縺ｦ繧りｨ蜿翫☆繧九
Purpose of lecture
隰帷ｾｩ縺ｮ縺ｭ繧峨＞縲
縲讒矩譚先侭繝ｻ驛ｨ譚舌ｮ讒倥縺ｪ髱樒ｷ壼梛諤ｧ迥ｶ縺ｨ縲∵ｧ矩迚ｩ謖吝虚縺ｸ縺ｮ蠖ｱ髻ｿ繧堤炊隗｣縺吶ｋ縲 迴ｾ莉｣讒矩迚ｩ縺ｮ險ｭ險医↓驥崎ｦ√〒縺ゅｋ譚先侭髱樒ｷ壼梛謖吝虚繧定諷ｮ縺励◆遞ｮ縲縺ｮ髱咏噪繝ｻ蜍慕噪隗｣譫先ｳ輔ｒ鄙貞ｾ励☆繧九よｧ倥縺ｪ螳ｿ鬘後ｒ隱ｲ縺吶ｋ縺薙→縺ｫ繧医ｊ蟄ｦ逕溘↓隗｣譫先ｳ輔ｒ菴灘ｾ励＆縺帙髱樒ｷ壼ｽ｢謖吝虚縺ｫ髢｢縺吶ｋ逅隗｣蜉帙ｒ鬢翫≧縲る撼邱壼梛諤ｧ繧堤ｩ肴･ｵ逧縺ｫ蛻ｩ逕ｨ縺励※讒矩迚ｩ縺ｮ諤ｧ閭ｽ縺ｨ邨梧ｸ域ｧ繧帝ｫ倥ａ繧玖ｨｭ險域婿豕輔↓縺､縺縺ｦ繧ょｭｦ縺ｶ縲
縲This course discusses nonlinear force-deformation characteristics of structural members/materials and their effects on performance of the structural systems. Various static and dynamic analysis methods will be presented. Homework assignments provide extensive hands-on experience of the analytical methods, and they are designed to cultivate students' physical understanding of the nonlinear behavior. Topics are as follows:
Plan of lecture
ｼ托ｼ守ｷ壼ｽ｢繝槭ヨ繝ｪ繝繧ｯ繧ｹ隗｣譫先ｳ輔ｮ縺ｾ縺ｨ繧
縲縲ｼ托ｼ守ｷ壼ｽ｢譚先侭縲√ヨ繝ｩ繧ｹ隕∫ｴ縲∝ｱ謇繝ｻ蜈ｨ菴灘ｺｧ讓咏ｳｻ縺ｫ縺翫¢繧矩Κ譚占ｪ逕ｱ蠎ｦ
縲縲ｼ抵ｼ朱←蜷医ｻ驥｣繧雁粋縺譚｡莉ｶ縲∝､我ｽ阪ｻ蜉帛､画鋤繝槭ヨ繝ｪ繝繧ｯ繧ｹ縲∝央諤ｧ繝ｻ譟疲ｧ繝槭ヨ繝ｪ繝繧ｯ繧ｹ
縲縲ｼ難ｼ守峩謗･蜑帶ｧ繝槭ヨ繝ｪ繝繧ｯ繧ｹ豕輔∝｢逡梧擅莉ｶ縺ｮ謇ｱ縺
ｼ抵ｼ主ｼｾ蝪第ｧ繝医Λ繧ｹ隕∫ｴ縺九ｉ縺ｪ繧区ｧ矩縺ｮ髱樒ｷ壼ｽ｢隗｣譫
縲縲ｼ費ｼ殺vent-to-Event豕
縲縲ｼ包ｼ惨tep-by-Step豕
縲縲ｼ厄ｼ擦onstant Stiffness Iteration豕
縲縲ｼ暦ｼ晒ewton-Raphson豕
ｼ難ｼ主ｼｾ蝪第ｧ譴∬ｦ∫ｴ
縲縲ｼ假ｼ守ｷ壼ｽ｢繝ｻ髱樒ｷ壼ｽ｢譴∫炊隲
縲縲ｼ呻ｼ弱Δ繝ｼ繝｡繝ｳ繝医ｻ譖ｲ邇髢｢菫ゅ√Δ繝ｼ繝｡繝ｳ繝医ｻ蝗櫁ｻ｢隗帝未菫
縲縲ｼ托ｼ撰ｼ主央蝪第ｧ繝偵Φ繧ｸ繧偵ｂ縺､譴∬ｦ∫ｴ縲∝央諤ｧ繝ｻ譟疲ｧ繝槭ヨ繝ｪ繝繧ｯ繧ｹ
縲縲ｼ托ｼ托ｼ主ｱ謇繝ｻ蜈ｨ菴灘ｺｧ讓咏ｳｻ縺ｫ縺翫¢繧矩Κ譚占ｪ逕ｱ蠎ｦ縲∝､我ｽ阪ｻ蜉帛､画鋤繝槭ヨ繝ｪ繝繧ｯ繧ｹ
ｼ費ｼ取｢∬ｦ∫ｴ縺九ｉ縺ｪ繧区ｧ矩縺ｮ髱樒ｷ壼ｽ｢隗｣譫
縲縲ｼ托ｼ抵ｼ惨tep-by-Step豕
縲縲ｼ托ｼ難ｼ擦onstant Stiffness Iteration豕輔¨ewton-Raphson豕
縲縲ｼ托ｼ費ｼ主央蝪第ｧ隗｣譫舌∵･ｵ髯占ｧ｣譫舌∽ｸ顔阜ｽ･荳狗阜螳夂炊
ｼ包ｼ弱◎縺ｮ莉
縲縲ｼ托ｼ包ｼ主ｼｾ蝪第ｧ菴薙髯堺ｼ乗擅莉ｶ縲∵ｭｪ縺ｿ遑ｬ蛹門援縲ｼ呈ｬ｡蜈蠢懷鴨繝ｻ豁ｪ縺ｿ髢｢菫
縲縲ｼ托ｼ厄ｼ趣ｼ題ｳｪ轤ｹ邉ｻ縲∝､夊ｳｪ轤ｹ邉ｻ縺ｮ蜍慕噪髱樒ｷ壼梛讒矩隗｣譫
縲縲ｼ托ｼ暦ｼ朱撼邱壼梛讒矩縺ｮ螳壼ｸｸ謖ｯ蜍輔髱樒ｷ壼ｽ｢蝨ｰ髴蠢懃ｭ斐せ繝壹け繝医Ν
縲縲ｼ托ｼ假ｼ守ｭ我ｾ｡邱壼ｽ｢蛹也炊隲悶↓繧医ｋ蝨ｰ髴蠢懃ｭ比ｺ域ｸｬ縺ｨ蠑ｾ蝪第ｧ蛻ｶ謖ｯ讒矩縺ｮ險ｭ險
ｼ厄ｼ取怏髯占ｦ∫ｴ繧堤畑縺縺溽ｷ壼ｽ｢隗｣譫撰ｼ茨ｼ慕ｫ縺ｮ莉｣繧上ｊｼ
縲縲ｼ托ｼ包ｼ趣ｼ第ｬ｡蜈蝠城｡後´agrange螟夐蠑上↓繧医ｋ螟我ｽ埼未謨ｰ縺ｨ蜑帶ｧ繝槭ヨ繝ｪ繝繧ｯ繧ｹ
縲縲ｼ托ｼ厄ｼ趣ｼ第ｬ｡蜈蝠城｡後√い繧､繧ｽ繝代Λ繝｡繝医Μ繝繧ｯ隕∫ｴ
縲縲ｼ托ｼ暦ｼ趣ｼ呈ｬ｡蜈蝠城｡後√い繧､繧ｽ繝代Λ繝｡繝医Μ繝繧ｯ隕∫ｴ
1. Review of Linear Matrix Structural Analysis Methods.
Linear material, truss element, local and global coordinates, transformations of force and deformation, direct stiffness method, treatment of various boundary conditions.
2. Nonlinear Analysis Strategies for Truss Systems.
Non-iterative method (event-to-event, step-by-step methods) iterative method (constant stiffness, Newton-Raphson, secant stiffness methods).
3. Nonlinear Beam Elements
Linear and nonlinear beam theories, moment-curvature relation, moment-rotation relation, nonlinear beam element with plastic hinges. Local and global coordinates, transformations of force and deformation, direct stiffness method.
4. Nonlinear Analysis Strategies for Frames with Beam Elements.
Non-iterative method (event-to-event, step-by-step methods), iterative method (constant stiffness, Newton-Raphson, secant stiffness methods), mixed method. Rigid-perfectly plastic idealization, limit analysis, lower and upper bound theorem and applications.
5. Other Topics.
Nonlinear dynamic analysis methods: linear acceleration method, Newmark method. Material nonlinearity in two dimensions, yield criteria, hardening rule, two-dimensional elements and analysis strategies. Harmonic and earthquake responses of nonlinear systems, nonlinear response spectra, equivalent linear systems, seismic design load.
6. Linear Analysis Using Finite Elements (may replace Chap. 5).
One-dimensional problem: Lagrange polynomials as a shape function, and stiffness matrix formulation. One-dimensional problem: isoparametric elements, and stiffness matrix formulation. Two-dimensional problem: isoparametric elements, and stiffness matrix formulation.
Textbook and reference
謨咏ｧ第嶌縺ｯ菴ｿ逕ｨ縺励↑縺
蜿り譖ｸ遲
蜿り蝗ｳ譖ｸ縺ｫ縺､縺縺ｦ縺ｯ隰帷ｾｩ荳ｭ縺ｫ驕ｩ螳懃ｴｹ莉九☆繧九
Evaluation
繝繧ｹ繝医ｻ繝ｬ繝昴ｼ繝域署蜃ｺ繝ｻ蜃ｺ蟶ｭ繝ｻ隧ｦ鬨鍋ｭ峨↓繧医ｋｼ
Based on attendance, homework solutions, reports, and examinations, etc.
