Dynamic Response of the Fiber Metal Laminated (FML) Plate with Interfacial Damage in Unstable Temperature Field

2014 ◽  
Vol 490-491 ◽  
pp. 403-411
Author(s):  
Yi Ming Fu ◽  
Xue Fei Shao
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Constitutive Relations ◽  
Thin Layers ◽  
Interfacial Damage ◽  
Nonlinear Dynamic Response ◽  
Motion Equations ◽  
Nonlinear Motion ◽  
Fiber Metal ◽  
Unstable Temperature

During the past decades, increasing requirement in aircraft for high-performance, lightweight structures have caused strong interests on the development of fiber-metal laminates (FMLs), which are manufractured from thin layers of glass fibre reinforced composite and alluminium alloy. In this paper, the nonlinear dynamic response problem of the FML plate subjected to unstable temperature with interfacial damage is analyzed. Based on the weak bonded theory, the interfacial constitutive relations of the FML are constructed. According to the Hamiltons variance principle, the nonlinear motion equations of the FML with interfacial damages subjected to the unstable thermal field are obtained. And then, the finite difference, Newmark-and the iteration method are applied to solve the nonlinear motion equations. In the numerical examples, the effects of the interface damage, the amplitude and frequency of imposed loads and the temperature fields on the nonlinear dynamic response of the FML plates are investigated. And in conclusion, the effects of various type of temperature on the nonlinear dynamic response of FML plate are different obviously.

NONLINEAR DYNAMIC RESPONSE AND CHAOS OF A CRACKED ROTOR WITH TWO DISKS

2003 ◽  
Vol 13 (11) ◽  
pp. 3425-3436 ◽  
Author(s):  
WEIYANG QIN ◽  
GUANG MENG
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Nonlinear Response ◽  
Damping Ratio ◽  
Crack Depth ◽  
Cracked Rotor ◽  
Nonlinear Dynamic Response ◽  
Motion Equations ◽  
Rotating Speed ◽  
Periodic Bifurcation

In this paper, the nonlinear response and chaos of a cracked rotor with two disks are studied. Considering the breadth of crack in one rotor revolution, the motion equations of the system are derived and then solved. The results show that the rotor response is sensitive to the crack depth, rotating speed, damping ratio and imbalance. When a crack occurs, the frequency of swing vibration is a multiple of rotating speed (NΩ,N=2,3,…). There are three main routes for response to chaos, that is from quasi-periodic to chaos, from quasi-periodic to quasi-periodic bifurcation and then to chaos and the intermittence to chaos. The intermittence chaos occurs even for a small crack. With the intermittence chaos range there exists the periodic-doubling bifurcation with time. Larger imbalance parameter and damping ratio can suppress chaos. The diagram of time-phase is a useful way to analyze the nonlinear response.

Nonlinear Dynamic Response of Piezoelectric Beam Reinforced with BNNTs under Electro-Thermo-Mechanical Loadings

2014 ◽  
Vol 1065-1069 ◽  
pp. 1083-1086
Author(s):  
Jin Hua Yang ◽  
Wen Liang Fan
Keyword(s):  
Variational Principle ◽  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Constitutive Relations ◽  
Boron Nitride Nanotubes ◽  
Governing Equations ◽  
Nonlinear Dynamic Response ◽  
Numerical Examples ◽  
Piezoelectric Beam ◽  
The Finite Difference Method

This paper presents an investigation on the nonlinear dynamic response of piezoelectric beam reinforced with boron nitride nanotubes (BNNTs) under combined electro-thermo-mechanical loadings. By employing nonlinear strain and utilizing piezoelectric theory, the constitutive relations of the piezoelectric beam reinforced with BNNTs are established. Then the dynamic governing equations of the structure are derived through variational principle and resolved by applying the finite difference method. In numerical examples, the effects of geometric nonlinear, voltage etc. on the nonlinear dynamic response of piezoelectric beam reinforced with BNNTs are discussed.

Nonlinear Dynamic Response of Piezoelectric Plates Considering Damage Effects

2006 ◽  
Vol 324-325 ◽  
pp. 299-302 ◽  
Author(s):  
Yi Ming Fu ◽  
Xian Qiao Wang
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Internal State ◽  
Constitutive Relations ◽  
Damage Model ◽  
State Variables ◽  
Nonlinear Dynamic Response ◽  
Internal State Variables ◽  
Nonlinear Dynamic Equations ◽  
Piezoelectric Plates

Based on the Talreja’s tensor valued internal state variables damage model and the Helmhotlz free energy of piezoelectric material, the constitutive relations of the piezoelectric plates with damage are derived. Then, the nonlinear dynamic equations of the piezoelectric plates considering damage are established. By using the finite difference method and the Newmark scheme, these equations are solved and the effects of damage and electric loads on the nonlinear dynamic response of piezoelectric plates are discussed.

Complexity evaluation of nonlinear dynamic behavior of mechanisms with clearance joints by using the fractal method

2014 ◽  
Vol 228 (18) ◽  
pp. 3482-3495 ◽  
Author(s):  
Wuweikai Xiang ◽  
Shaoze Yan ◽  
Jianing Wu ◽  
Robert X Gao
Keyword(s):  
Dynamic Response ◽  
Dynamic Behavior ◽  
Nonlinear Dynamic ◽  
Correlation Dimension ◽  
Nonlinear Dynamic Response ◽  
Fractal Method ◽  
Motion Equations ◽  
Clearance Joints ◽  
Nonlinear Dynamic Characteristics ◽  
Crank Mechanism

Dynamic behavior of mechanisms with clearance joints often exhibits nonlinear dynamic characteristics due to the collisions between the journal and bearing. However, previous studies could not quantify the complexity of the dynamic response. In this paper, based on the Poincaré map and correlation dimension, a fractal method is proposed to evaluate the complexity of nonlinear dynamic response of mechanisms with clearance joints. Motion equations of mechanical systems with clearance joints are described. A slider–crank mechanism is employed to demonstrate the efficiency of the fractal method and to discuss the influence of the clearance size and crank speed on the complexity of the dynamic response.

Sign in / Sign up

Export Citation Format

Share Document