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Langhaar H.R. Ч Energy Methods in Applied Mechanics
Langhaar H.R. Ч Energy Methods in Applied Mechanics



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Ќазвание: Energy Methods in Applied Mechanics

јвтор: Langhaar H.R.

јннотаци€:

Students of engineering usually receive only fragmentary instruction in the important principles of classical mechanics, stemming from the works of Huygens, Leibniz, Bernoulli, and Lagrange, which assign a central role to the concepts of work, potential energy, and kinetic energy. These laws, designated as "energy principles of mechanics" are sufficiently general to allow Newton's second Jaw to be deduced from them. An integrated and modern treatment of energy principles of mechanics, with applications to dynamics of rigid bodies, analyses of elastic frames, general elasticity theory, the theories of plates and shells, the theory of buckling, and the theory of vibrations, is undertaken in this work.


язык: en

–убрика: ћеханика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1962

 оличество страниц: 350

ƒобавлена в каталог: 15.04.2007

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Plates, Airy function for      163
Plates, Airy function for      163
Plates, boundary conditions for      168Ч170
Plates, boundary conditions for      168Ч170
Plates, circular      195Ч198
Plates, circular      195Ч198
Plates, complementary energy of      173
Plates, complementary energy of      173
Plates, flexural rigidity of      162
Plates, flexural rigidity of      162
Plates, Kirchhoff assumption for      160
Plates, Kirchhoff assumption for      160
Plates, Navier's solution for      171
Plates, Navier's solution for      171
Plates, Reissner's theory of      173Ч177
Plates, Reissner's theory of      173Ч177
Plates, shear deformation of      173Ч177
Plates, shear deformation of      173Ч177
Plates, strain energy of      162 164
Plates, strain energy of      162 164
Plates, von Karman's theory of      159Ч164
Plates, von Karman's theory of      159Ч164
Poisson's ratio      125
Poisson's ratio      125
potential energy      18Ч33
potential energy      18Ч33
Potential energy due to weight      20
Potential energy of a system of particles      24Ч29
Potential energy of external forces      21
Potential energy of external forces      21
Potential energy of internal forces      21
Potential energy, minimum principle for      30
Potential energy, stationary principle for      23
Quadratic forms      308Ч327
Quadratic forms      308Ч327
Quadratic forms, canonical form of      309
Quadratic forms, canonical form of      309
Quadratic forms, index of      309 310
Quadratic forms, index of      309 310
Quadratic forms, pairs of      320Ч323
Quadratic forms, pairs of      320Ч323
Quadratic forms, principal axis theory of      313Ч318
Quadratic forms, principal axis theory of      313Ч318
Quadratic forms, relation to buckling theory      324Ч327
Quadratic forms, relation to buckling theory      324Ч327
Quadratic forms, singular      309
Quadratic forms, singular      309
Quadratic forms, type of      308
Quadratic forms, type of      308
Rayleigh Ч Ritz method      98Ч100
Rayleigh Ч Ritz method      98Ч100
Rayleigh's principle      276
Rayleigh's principle      276
Reference frames      2
Reference frames      2
Reference frames, Galilean, inertial, and Newtonian      8 11
Reference frames, Galilean, inertial, and Newtonian      8 11
Reissner's theorem      130Ч133
Reissner's theorem      130Ч133
Relativity theory      8
Relativity theory      8
Resonance      275
Resonance      275
Rings, analysis by Fourier series      51Ч52
Rings, analysis by Fourier series      51Ч52
Rings, analysis by unit-dummy-load method      150Ч152
Rings, analysis by unit-dummy-load method      150Ч152
Rings, strain energy of      48Ч50
Rings, strain energy of      48Ч50
Rotation      107
Rotation      107
Sets      4
Sets      4
shells      177Ч198
shells      177Ч198
Shells, axially symmetric      191Ч192
Shells, axially symmetric      191Ч192
Shells, bending moments in      190
Shells, bending moments in      190
Shells, bending of      189
Shells, bending of      189
Shells, coordinates for      180
Shells, coordinates for      180
Shells, cylindrical      192Ч195
Shells, cylindrical      192Ч195
Shells, equilibrium equations for      181Ч187
Shells, equilibrium equations for      181Ч187
Shells, geometry of      177Ч181
Shells, geometry of      177Ч181
Shells, strain energy of      187Ч191
Shells, strain energy of      187Ч191
Shells, strains in      188Ч189
Shells, strains in      188Ч189
Signum      15 146
Signum      15 146
Stability      29Ч33
Stability      29Ч33
strain      104
strain      104
Strain energy      21
Strain energy      21
Strain energy of beams, columns, and shafts      39Ч44
Strain energy of beams, columns, and shafts      39Ч44
Strain energy of plates      162 164
Strain energy of plates      162 164
Strain energy of shear      41Ч42
Strain energy of shear      41Ч42
Strain energy of shells      190
Strain energy of shells      190
Strain in plates      160
Strain in plates      160
Strain in shells      188Ч189
Strain in shells      188Ч189
Strain, compatibility of      107
Strain, compatibility of      107
Strain, ellipsoid of      105
Strain, ellipsoid of      105
Strain, invariants of      106
Strain, invariants of      106
Strain, principal axes of      106 319Ч320
Strain, principal values of      105 319Ч320
Strain, principal values of      105 319Ч320
Strain, shearing      105
Strain, shearing      105
Strain, tensor of      105
Strain, volumetric      107
Stress      109
Stress      109
Stress in curvilinear coordinates      115
Stress in curvilinear coordinates      115
Stress, deviator of      117
Stress, deviator of      117
Stress, equilibrium equations for      111
Stress, equilibrium equations for      111
Stress, invariants of      111
Stress, invariants of      111
Stress, principal planes of      110
Stress, principal values of      110
Stress, tensor of      109
Surface tension      31
Surface tension      31
Surfaces, area of      178
Surfaces, area of      178
Surfaces, axially symmetric      191Ч192
Surfaces, axially symmetric      191Ч192
Surfaces, Codazzi equations for      179
Surfaces, Codazzi equations for      179
Surfaces, coordinate lines of      177
Surfaces, coordinate lines of      177
Surfaces, coordinates for      177
Surfaces, coordinates for      177
Surfaces, Gauss equation for      179
Surfaces, Gauss equation for      179
Surfaces, Gaussian curvature of      179
Surfaces, Gaussian curvature of      179
Surfaces, lines of principal curvature for      179
Surfaces, lines of principal curvature for      179
Surfaces, metric coefficients for      178
Surfaces, metric coefficients for      178
Surfaces, orthogonal parametrization of      177
Surfaces, orthogonal parametrization of      177
Surfaces, principal curvatures of      178Ч179
Surfaces, principal curvatures of      178Ч179
Surfaces, Rodrigues' theorem for      179
Surfaces, Rodrigues' theorem for      179
Surfaces, second fundamental form of      178
Surfaces, second fundamental form of      178
Surfaces, triply orthogonal systems of      180
Surfaces, triply orthogonal systems of      180
Thermal expansion, coefficient of      122 125
Thermal expansion, coefficient of      122 125
Thermodynamics, first law of      11Ч13 115Ч117
Thermodynamics, first law of      11Ч13 115Ч117
Top, motion of      255Ч259
Top, motion of      255Ч259
Top, precession of      258 259
Top, precession of      258 259
Truss analyses by Castigliano's theorem      138Ч141 142Ч143
Truss analyses by Castigliano's theorem      138Ч141 142Ч143
Truss analyses by Maxwell Ч Mohr method      141Ч142 143Ч144
Truss analyses by stationary potential energy      52Ч58
Unit-dummy-load method      146Ч152
Unit-dummy-load method      146Ч152
Variations      78Ч83
Variations      78Ч83
Variations of double integrals      92Ч96
Variations of triple integrals      97Ч98
Variations of triple integrals      97Ч98
Variations, admissible      79
Variations, admissible      79
Variations, notation for      15 83
Variations, notation for      15 83
Velocity, generalized      234
Velocity, generalized      234
Vibration      268Ч304
Vibration      268Ч304
Vibration damping of      272 277Ч279
Vibration damping of      272 277Ч279
Vibration of an airplane wing      285Ч288
Vibration of an airplane wing      285Ч288
Vibration of beams      280Ч283
Vibration of beams      280Ч283
Vibration of rectangular plates      289Ч292
Vibration of rectangular plates      289Ч292
Vibration of undamped systems      272Ч277
Vibration of undamped systems      272Ч277
Vibration, amplitude of      270
Vibration, amplitude of      270
Vibration, free      272
Vibration, free      272
Vibration, frequency equation for      270
Vibration, frequency equation for      270
Vibration, frequency of      270
Vibration, frequency of      270
Vibration, linear      272
Vibration, linear      272
Vibration, natural frequency of      274 302
Vibration, natural frequency of      274 302
Vibration, natural modes of      274 281 302
Vibration, natural modes of      274 281 302
Vibration, normal coordinates for      275
Vibration, normal coordinates for      275
Vibration, period of      270
Virtual work principle      14Ч16
Virtual work principle      14Ч16
Vis viva      11
Vis viva      11
Wave equation      301
Wave equation      301
Wave motion      292Ч304
Wave motion      292Ч304
Wave motion in gas      292Ч295
Wave motion in gas      292Ч295
Wave motion in liquids      295Ч299
Wave motion in liquids      295Ч299
Wave motion in solids      299Ч304
Wave motion in solids      299Ч304
Wave motion of Gerstner      297
Wave motion of Gerstner      297
Wave motion, equivoluminal      300
Wave motion, equivoluminal      300
Wave motion, flux of energy in      301
Wave motion, flux of energy in      301
Wave motion, frequency of      304
Wave motion, frequency of      304
Wave motion, irrotational      300
Wave motion, irrotational      300
Wave motion, period of      304
Wave motion, period of      304
Waves, compression, progressive, and shear      303
Waves, compression, progressive, and shear      303
Whitehead, A.N.      268
Whitehead, A.N.      268
Work      9
Work      9
Work, relativity of      9 11
Work, relativity of      9 11
Work, virtual      13
Work, virtual      13
Young's modulus      125
Young's modulus      125
1 2
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