QING Guang-hui, XU Jian-xin, QIU Jia-jun. State-Vector Equation With Damping and Vibration Analysis of Laminates[J]. Applied Mathematics and Mechanics, 2007, 28(2): 231-237.
 Citation: QING Guang-hui, XU Jian-xin, QIU Jia-jun. State-Vector Equation With Damping and Vibration Analysis of Laminates[J]. Applied Mathematics and Mechanics, 2007, 28(2): 231-237.

# State-Vector Equation With Damping and Vibration Analysis of Laminates

• Rev Recd Date: 2006-12-06
• Publish Date: 2007-02-15
• Based on the modified mixed Hellinger-Reissner(H-R) variational principle for elastic bodies with damping,the state-vector equation was directionally derived from the principle.A new solution for the harmonic vibration of simply supported rectangular laminates with damping was proposed by using the precise integration method and Muller method.The general solutions for the free vibration of underdamping,critical damp and overdamping of composite laminates were given simply in terms of the linear damping vibration theory.The effect of viscous damping force on the vibration of composite laminates was investigated through numerical examples.The state-vector equation theory and its application areas are extended.
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