Treść książki
Przejdź do opcji czytnikaPrzejdź do nawigacjiPrzejdź do informacjiPrzejdź do stopki
CONTENTS
1ǤIntroductionǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
1Ǥ1ǤOVerViewontheissueofthemodellingofconstructionelements
withVariablepropertiesǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
1Ǥ2ǤScopeofthemonographǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2ǤDynamicalstabilityofVariablecrosssectionbars−firstnaturalfrequencies
andbucklingcriticalforcesǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
Ǥ
2Ǥ1ǤIntroduction
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
2Ǥ2ǤThefiniteelementmethodintheproblemsofdynamicalbucklingǤǤǤ
ǤǤǤ
ǤǤǤ
2Ǥ3ǤBarCCǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2Ǥ3Ǥ1ǤBendingstiffnessVariabilityofthetype
f
(
X
Ͷ)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2Ǥ3Ǥ2ǤBendingstiffnessVariabilityofthetype
f
(
X
3)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2Ǥ3Ǥ3ǤBendingstiffnessVariabilityofthetype
f
(
X
)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
2ǤͶǤBarPCǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2ǤͶǤ1ǤBendingstiffnessVariabilityofthetype
f
(
X
Ͷ)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2ǤͶǤ2ǤBendingstiffnessVariabilityofthetype
f
(
X
3)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2ǤͶǤ3ǤBendingstiffnessVariabilityofthetype
f
(
X
)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
2Ǥ5ǤBarCPǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2Ǥ5Ǥ1ǤBendingstiffnessVariabilityofthetype
f
(
X
Ͷ)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2Ǥ5Ǥ2ǤBendingstiffnessVariabilityofthetype
f
(
X
3)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2Ǥ5Ǥ3ǤBendingstiffnessVariabilityofthetype
f
(
X
)ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
2ǤǤCurVesλǦσforVarioustypesofbarsǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
Ǥ
2Ǥ7ǤComparisonofresultswiththeliteraturedataǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
Ǥ
2ǤͺǤConVergenceanalysisǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤ
2ǤͻǤConclusionsǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
Ǥ
3ǤStabilityandVibrationsofmicroheterogeneousplateband
restingonelasticsubsoilǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤǤ
3Ǥ1ǤIntroduction
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
3Ǥ2ǤBasicassumptionsǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
3Ǥ3ǤTransformationformulasofabandelementǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
Ǥ
3ǤͶǤElement(cell)stiffnessmatriXǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
3Ǥ5ǤBandstiffnessmatriXǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
ǤǤǤ
Ǥ
5
5
ͻ
13
13
17
20
20
22
2
2ͻ
30
31
3Ͷ
3
3
3ͺ
Ͷ0
Ͷ3
ͶͶ
5ͻ
0
3
3
7
ͺ
7Ͷ