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By A. Worthington

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J. Non-Linear Mech. 21, 111–134 (1986) 8. : An improved non-Gaussian closure method for randomly excited nonlinear stochastic systems. Nonlinear Dynamics 17(3), 285–297 (1998) 9. : A consistent and effective method for nonlinear random oscillations of MDOF systems. In: Proceedings of the IUTAM Symposium on Recent Developments in Nonlinear Oscillations of Mechanical Systems, March 2-5, pp. 85–94. L. L. R. China Abstract. The nonstationary probability densities of system responses are obtained for nonlinear multi-degree-of-freedom systems subject to stochastic parametric and external excitations.

In many MDOF systems with intrinsic nonlinear property, the equivalent linearization and lower-order statistical moments can not completely characterize the system response. The Monte Carlo simulation, although being a universal method, usually cannot capture system behavior change with varying system parameters. In the present paper, a procedure is proposed to predict the nonstationary probability densities of system responses for MDOF nonlinear systems subject to stochastic parametric and external excitations.

R2 R1 R1 O R2 | || | | | ... C _ N*~ C1_ C ... + H2O ĺ ... C _ NH2 + HOOC_ C ... | | | | | H H H H* H Fig. 1 PB breaking reaction process Energy Transition Rate at Peptide-Bond Using Stochastic Averaging Method 15 ChT is a typical molecular scissor which plays an extremely important role during the hydrolysis process of PB and ester bonds. As shown in Fig. 2, the active site of ChT is located between the two sub-globules. The catalytic active site is composed with aminoacids residues Ser197, His57 and Asp102.

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Dynamics of Rotation - An Elem. Intro to Rigid Dynamics by A. Worthington

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