Index
981
Condition for determining solution, 96
Condition of deformation compatibility, 518
Condition of stationary value, 112
Condition of transversality, 246, 260, 288,
378, 380
Configuration, 515
Configuration space, 553
Conjugate exponent, 69
Conjugate Hamiltonian operator train, 707,
730, 731
Conjugate mirror image Hamiltonian operator train, 730
Conjugate operator, 408, 409
Conjugate point, 207
Conjugate space, 408
Conjugate symmetry, 394
Conjugate tensor, 61
Conjugate value, 207
Conjugate variable, 582
Conservation law of charge, 630
Conservative field, 29
Conservative field of force, 522
Conservative force, 522
Conservative system, 522
Constitutive equation, 522
Constitutive relation, 522
Constrained extreme-value problem, 88
Constrained extremum problem, 88
Constraining force, 515
Constraint, 96, 515
Constraint conditions, 96
Constraint equation, 88, 515
Constraint force, 515
Constraint reaction force, 515
Contemporaneous variation, 99
Continuity equation of electric current, 630
Continuous, 404
Continuous class function in a closed
interval [x 0 ,x 1 ], 90
Continuous functional, 94, 407
Continuous function class in an open interval
(x 0 ,x 1 ), 90
Continuous linear operator, 406
Continuous mapping, 388
Continuous operator, 405
Continuous spectrum, 490
Contour line, 12
Contour line equation, 12
Contour surface, 12
Contour surface equation, 12
Contraction, 63
Contrary problem of variational problem,
383
Contrary variational problem, 383
Control differential equation for thin plate
bending, 169
Control differential equation for thin slab
bending, 169
Convergent sequence, 389
Convergent sequence of numbers, 389
Converge to sum, 402
Convex set, 393
Coordinate function, 464
Coordinates, 553
Coordinate set, 387
Coordinates of Hamiltonian equation, 582
Coordinates of Hamilton(’s) equation, 582
Corner, 295
Corner conditions of Weierstrass-Erdmann,
297
Corner point, 295
Correlation, 400
Cost functional, 101
Count, 385
Countable set, 388
Courant condition, 287
Critical variation, 320
Curl, 30
Curve field, 203
Curve function, 91
Cusp, 295
Cuspidal point, 295
Cyclic coordinate, 554
Cyclic integral, 554
Cycloid, 135
D
D’Alembert equation, 632
D’Alembert-Lagrange(’s) equation, 547
D’Alembert(’s) principle, 547
Decomposition theorem for tensor, 62
Deduced order operator, 695
Definite condition, 96
Definite problem, 96
Deformation, 516
Deformation gradient, 697
Degrees of freedom, 553
δ approach degree ofn-th order, 93
δ neighborhood, 391
Del (∇) operator, 10, 412
Dense, 389
Densely defined operator, 409
Dense set, 389
Density of complementary virtual strain
energy, 544
981
Condition for determining solution, 96
Condition of deformation compatibility, 518
Condition of stationary value, 112
Condition of transversality, 246, 260, 288,
378, 380
Configuration, 515
Configuration space, 553
Conjugate exponent, 69
Conjugate Hamiltonian operator train, 707,
730, 731
Conjugate mirror image Hamiltonian operator train, 730
Conjugate operator, 408, 409
Conjugate point, 207
Conjugate space, 408
Conjugate symmetry, 394
Conjugate tensor, 61
Conjugate value, 207
Conjugate variable, 582
Conservation law of charge, 630
Conservative field, 29
Conservative field of force, 522
Conservative force, 522
Conservative system, 522
Constitutive equation, 522
Constitutive relation, 522
Constrained extreme-value problem, 88
Constrained extremum problem, 88
Constraining force, 515
Constraint, 96, 515
Constraint conditions, 96
Constraint equation, 88, 515
Constraint force, 515
Constraint reaction force, 515
Contemporaneous variation, 99
Continuity equation of electric current, 630
Continuous, 404
Continuous class function in a closed
interval [x 0 ,x 1 ], 90
Continuous functional, 94, 407
Continuous function class in an open interval
(x 0 ,x 1 ), 90
Continuous linear operator, 406
Continuous mapping, 388
Continuous operator, 405
Continuous spectrum, 490
Contour line, 12
Contour line equation, 12
Contour surface, 12
Contour surface equation, 12
Contraction, 63
Contrary problem of variational problem,
383
Contrary variational problem, 383
Control differential equation for thin plate
bending, 169
Control differential equation for thin slab
bending, 169
Convergent sequence, 389
Convergent sequence of numbers, 389
Converge to sum, 402
Convex set, 393
Coordinate function, 464
Coordinates, 553
Coordinate set, 387
Coordinates of Hamiltonian equation, 582
Coordinates of Hamilton(’s) equation, 582
Corner, 295
Corner conditions of Weierstrass-Erdmann,
297
Corner point, 295
Correlation, 400
Cost functional, 101
Count, 385
Countable set, 388
Courant condition, 287
Critical variation, 320
Curl, 30
Curve field, 203
Curve function, 91
Cusp, 295
Cuspidal point, 295
Cyclic coordinate, 554
Cyclic integral, 554
Cycloid, 135
D
D’Alembert equation, 632
D’Alembert-Lagrange(’s) equation, 547
D’Alembert(’s) principle, 547
Decomposition theorem for tensor, 62
Deduced order operator, 695
Definite condition, 96
Definite problem, 96
Deformation, 516
Deformation gradient, 697
Degrees of freedom, 553
δ approach degree ofn-th order, 93
δ neighborhood, 391
Del (∇) operator, 10, 412
Dense, 389
Densely defined operator, 409
Dense set, 389
Density of complementary virtual strain
energy, 544