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Variational Methods in Mechanics and Design
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Lec43 Electro thermal elastic structral optimization
30:52
Lec43 Electro thermal elastic structral optimization
Lec44 Formulating the extremization problem starting from the differential equation, self adjointnes
31:05
Lec44 Formulating the extremization problem starting from the differential equation, self adjointnes
Lec35 Optimal structural design of bars and beams using the optimality criteria method
50:32
Lec35 Optimal structural design of bars and beams using the optimality criteria method
Lec32 Variational energy methods in statics; principles of minimum potential energy and virtual work
31:57
Lec32 Variational energy methods in statics; principles of minimum potential energy and virtual work
Lec33 Part I General framework of optimal structural designs
33:41
Lec33 Part I General framework of optimal structural designs
Lec34 Part II General framework of optimal structural designs
30:18
Lec34 Part II General framework of optimal structural designs
Lec29 Part II Calculus of variations in functionals involving two and three independent variables
27:39
Lec29 Part II Calculus of variations in functionals involving two and three independent variables
Lec14 Part II Mathematical preliminaries function, functional, metrics and metric space, norm and ve
31:32
Lec14 Part II Mathematical preliminaries function, functional, metrics and metric space, norm and ve
Lec12 Part II Sufficient conditions for constrained minimization mp4
25:12
Lec12 Part II Sufficient conditions for constrained minimization mp4
Lec2 Prat II Classification of optimization problems and the place of Calculus of Variations in it
27:14
Lec2 Prat II Classification of optimization problems and the place of Calculus of Variations in it
Lec1 Prat I Classification of optimization problems and the place of Calculus of Variations in it
31:04
Lec1 Prat I Classification of optimization problems and the place of Calculus of Variations in it
Lec42 Dynamic compliance optimization
26:07
Lec42 Dynamic compliance optimization
Lec41 Strongest most stable column
22:33
Lec41 Strongest most stable column
Lec40 Stability analysis and buckling using calculus of variations
34:24
Lec40 Stability analysis and buckling using calculus of variations
Lec39 Rayleigh quotient for natural frequencies and mode shapes of elastic systems
29:27
Lec39 Rayleigh quotient for natural frequencies and mode shapes of elastic systems
Lec38 Minimum characterization of Sturm Liouville problems
30:48
Lec38 Minimum characterization of Sturm Liouville problems
Lec37 Noether’s theorem
30:01
Lec37 Noether’s theorem
Lec36 Invariants of Euler Lagrange equations and canonical forms
30:12
Lec36 Invariants of Euler Lagrange equations and canonical forms
Lec31 Part II General variation of a functional, transversality conditions  Broken extremals, Wierst
27:38
Lec31 Part II General variation of a functional, transversality conditions Broken extremals, Wierst
Lec30 Part I General variation of a functional, transversality conditions  Broken extremals, Wierstr
31:32
Lec30 Part I General variation of a functional, transversality conditions Broken extremals, Wierstr
Lec28 Part I Calculus of variations in functionals involving two and three independent variables
31:16
Lec28 Part I Calculus of variations in functionals involving two and three independent variables
Lec27 Part III Size optimization of a bar for maximum stiffness for given volume
29:15
Lec27 Part III Size optimization of a bar for maximum stiffness for given volume
Lec26 Part II Size optimization of a bar for maximum stiffness for given volume
36:22
Lec26 Part II Size optimization of a bar for maximum stiffness for given volume
Lec25 Part I Size optimization of a bar for maximum stiffness for given volume
21:31
Lec25 Part I Size optimization of a bar for maximum stiffness for given volume
Lec24 Part II Local finite subsidiary constrains in calculus of variations
32:06
Lec24 Part II Local finite subsidiary constrains in calculus of variations
Lec23 Part I Local finite subsidiary constrains in calculus of variations
28:31
Lec23 Part I Local finite subsidiary constrains in calculus of variations
Lec22 Part II Global Constraints in calculus of variations
27:37
Lec22 Part II Global Constraints in calculus of variations
Lec21 Part I Global Constraints in calculus of variations
28:53
Lec21 Part I Global Constraints in calculus of variations
Lec20 Extension of Euler Lagrange equations to multiple functions in a functional
34:00
Lec20 Extension of Euler Lagrange equations to multiple functions in a functional
Lec19 Extension of Euler Lagrange equations to multiple derivatives
33:01
Lec19 Extension of Euler Lagrange equations to multiple derivatives
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