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- Alexander M Gouskova, Sergey A Voronov, Eric A Butcher, S C Sinha
- 2007

The dynamics of a rotating tool, commonly employed in deep hole honing, is considered. A mathematical model of the process including a dynamic representation of tool, workpiece surface and honing stones interaction is suggested and analyzed. It is shown that interaction forces are non-conservative. The honing tool is modeled as a rotating continuous slender… (More)

This work reports new approaches for order reduction of nonlinear systems with time periodic coefficients. First, the equations of motion are transformed using the Lyapunov-Floquet (LF) transformation, which makes the linear part of new set of equations time invariant. At this point, either linear or nonlinear order reduction methodologies can be applied.… (More)

The oxidative degradation of biphenyl and polychlorinated biphenyls (PCBs) is initiated in Pandoraea pnomenusa B-356 by biphenyl dioxygenase (BPDO(B356)). BPDO(B356), a heterohexameric (αβ)(3) Rieske oxygenase (RO), catalyzes the insertion of dioxygen with stereo- and regioselectivity at the 2,3-carbons of biphenyl, and can transform a broad spectrum of PCB… (More)

The paper deals with an approximate analysis of non-linear oscillation problems with slowly varying system parameters. From the differential equations for amplitude and phase, set up by the method of variation of parameters, the approximate solutions are obtained by using the generalized averaging method of Sinha and Srinivasan based on ultraspherical… (More)

- S C Sinha, N R Senthilnathan, And R Pandiyan
- 2007

A new computational scheme using Chebyshev polynomials is proposed for the numerical solution of parametrically excited nonlinear systems. The state vector and the periodic coefficients are expanded in Chebyshev polynomials and an integral equation suitable for a Picard-type iteration is formulated. A Chebyshev collocation is applied to the integral with… (More)

- S C Sinha, M Jagannathan
- 2007

The paper deals with an approximate analysis of non-linear, non-stationary vibrational systems with multiple degrees of freedom subjected to a pulse excitation. The non-stationary system parameters, which may include masses, restoring forces or damping, are considered to be slowly varying functions of time. A general procedure for obtaining the first order… (More)

- S C Sinha, Eric A Butcher
- 2007

Chebyshev polynomials are utilized to obtain solutions of a set of pth order linear differential equations with periodic coefficients. For this purpose, the operational matrix of differentiation associated with the shifted Chebyshev polynomials of the first kind is derived. Utilizing the properties of this matrix, the solution of a system of differential… (More)

- D J Olberdingt, S C Sinha
- 2007

The study involves an approximate analysis of non-linear, non-stationary vibrational systems subjected to an arbitrary pulse excitation. The non-stationary system parameters, which may include masses, restoring forces, material properties or damping, are considered to be slowly varying functions of time. A general procedure for obtaining the first and the… (More)

- S C Sinha, C C Chou, H H Denman
- 2007

The paper deals with an approximate method of stability analysis for second order linear systems with p<;riodiQcoefficients. The periodic functions are approximated during the first period of motion by a constant, a linear or a quadratic function of time such that the resulting approximate equations have known closed form solutions. The approximate… (More)