... 2010 15 03 2011 28 12 2011 28 12 2011 acceleration beams (structures) elasticity integration stability structural acoustics viscoelasticity viscosity parametric stability axially accelerating viscoelastic beam MIRRORCLE longitudinally varying tensions finite...

... to simulate the vehicle cable-stayed bridge system. Then, the vertical vibration interaction between the bridge and the vehicle is solved by a time-step integration scheme. In this research, we consider that two kinds of damage including cable tension loss and deck damage may occur simultaneously at different...

... contact force, and the varying compliance vibration are modeled; and (5) rubbing fault between rotor and stator is considered. The Zhai method, which is a new explicit fast numerical integration method, is employed to obtain system’s responses, and the whole aero-engine vibration characteristics...

..., and show that this leads to a significantly improved quality. Our idea also works for operators of order greater than 1. damping differential equations integration mathematical operators numerical analysis vibrations fractional derivative numerical method Yuan–Agrawal method...

...S. M. Shahruz By integrating system ( 5b ) numerically, it is observed that this system is unstable. The time history of t ↦ y 1 t in the solution vector t ↦ Y t ≔ [ y 1 t   y 2 t ] T is depicted in Fig. 1 . It is evident...

... of Laplace transforms of convolution integrals are used to write a set of general Duhamel integral type expressions for the response of the system. The general response contains two parts, namely zero state and zero input. For a stochastic analysis, the input force is treated as a random process...

...Yuan Mao Huang, Professor; Chin-Ming Wang, Research Assistant This study develops a numerical method for analyzing the unbalanced effect of rotary systems by combining the finite element method, the transfer matrix method, the time marching numerical integration method and the Houbolt numerical...

...Wanxie Zhong; W. P. Howson; F. W. Williams A precise integration algorithm is proposed to solve the differential equation of surface wave propagation for stratified anisotropic material. The method can easily be extended to 3D wave problems. The numerical result is exact in the sense...