Damaged Structural Vibration Analysis Using the Hamiltonian Matrix Perturbation Theory

Long Liu; Fu Zhen Xuan

doi:10.4028/www.scientific.net/AMR.44-46.91

Paper Titles

Measurement on Scale-Induced Fatigue Behaviour for Railway Axle
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Thermal Stability of CoTi-Substituted Manganese-Zinc Ferrites
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Damage Constitutive Model and Failure Mechanism of Lead-Free Solder in CBGA Package
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On Deformation of the Injection Mold Core
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Damaged Structural Vibration Analysis Using the Hamiltonian Matrix Perturbation Theory
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Study on Temperature-Dependent Tensile Strength of Short-Fiber-Reinforced Elastomer Matrix Composites
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Reliability Analysis of Corrosion Fatigue Crack Growth for 2024-T3 Aluminum Alloy
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Modeling of Fatigue Crack Growth Based on Two Cyclic Plasticity Models
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Fatigue Fracture Behavior of Bearing Steel GCr15 in Very High Cycle Regime
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 44-46Damaged Structural Vibration Analysis Using the...

Damaged Structural Vibration Analysis Using the Hamiltonian Matrix Perturbation Theory

Abstract:

This paper proposes a Hamiltonian perturbation approach for analyzing the dynamic characteristics of the damaged structure. Firstly, structural vibration governing equation is transformed to the general expression of state variables composed of displacement and momentum. On the basis of the conjugate symplectic orthogonal relation, the first-, and second- order perturbation expression of the damaged structural eigensolution are obtained. Finally, the numerical simulation and cantilever experiment prove the effectiveness of this approach.