Dynamic response function and bounds of the susceptibility of a semiclassical gas and Kramers-Kronig relations in optic-data inversion

1992 ◽  
Vol 46 (6) ◽  
pp. 3028-3036 ◽  
Author(s):  
M. Howard Lee ◽  
O. I. Sindoni
Keyword(s):  
Dynamic Response ◽  
Response Function ◽  
Data Inversion

Dynamic Response Characteristics of a Nonviscously Damped Oscillator

2008 ◽  
Vol 75 (1) ◽  
Author(s):  
S. Adhikari
Keyword(s):  
Dynamic Response ◽  
Frequency Response ◽  
Response Function ◽  
Frequency Response Function ◽  
Past History ◽  
Maximum Amplitude ◽  
Damping Factor ◽  
Classical Dynamic ◽  
Damped Oscillators ◽  
Damped Oscillator

The characteristics of the frequency response function of a nonviscously damped linear oscillator are considered in this paper. It is assumed that the nonviscous damping force depends on the past history of velocity via a convolution integral over an exponentially decaying kernel function. The classical dynamic response properties, known for viscously damped oscillators, have been generalized to such nonviscously damped oscillators. The following questions of fundamental interest have been addressed: (a) Under what conditions can the amplitude of the frequency response function reach a maximum value?, (b) At what frequency will it occur?, and (c) What will be the value of the maximum amplitude of the frequency response function? Introducing two nondimensional factors, namely, the viscous damping factor and the nonviscous damping factor, we have provided exact answers to these questions. Wherever possible, attempts have been made to relate the new results with equivalent classical results for a viscously damped oscillator. It is shown that the classical concepts based on viscously damped systems can be extended to a nonviscously damped system only under certain conditions.

Dynamic response function and large-amplitude dissipative collective motion

1993 ◽  
Vol 48 (3) ◽  
pp. 1183-1191 ◽  
Author(s):  
Xizhen Wu ◽  
Fumihiko Sakata ◽  
Yizhong Zhuo ◽  
Zhuxia Li
Keyword(s):  
Dynamic Response ◽  
Response Function ◽  
Large Amplitude ◽  
Collective Motion

Straightforward inversion of MT data using a normalized impedance function

Geophysics ◽  
2007 ◽  
Vol 72 (1) ◽  
pp. F19-F24 ◽  
Author(s):  
Sri Niwas ◽  
P. K. Gupta ◽  
V. K. Gaur
Keyword(s):  
Power Series ◽  
Layer Thickness ◽  
Recurrence Relation ◽  
Response Function ◽  
Linear Problem ◽  
Data Sets ◽  
Impedance Function ◽  
Data Inversion ◽  
Impedance Response ◽  
Penetration Parameter

We present a new algorithm for 1D magnetotelluric (MT) data inversion. It inverts a normalized impedance response function derived from the classical Cagniard impedance function. The scheme transforms the nonlinear problem of estimating layer resistivities and thicknesses into a linear problem of estimating the coefficients of power series of the new response function. This is achieved by working with a model where each layer has a thickness of constant penetration. The first coefficient of the series provides top-layer resistivity, which, in conjunction with the constant penetration parameter, then provides the layer thickness. The scheme employs a recurrence relation developed between the coefficients of the power series of two successive layers. This relation is used to continue downward and estimate the remaining layer resistivities and thicknesses. The scheme has been tested on a synthetic model and on three well-studied data sets relating to deep, intermediate, and shallow exploration.

Identification of Rider’s Arms Dynamic Response and Effects on Bicycle Stability

2020 ◽  
Author(s):  
Alberto Doria ◽  
Edoardo Marconi ◽  
Matteo Massaro
Keyword(s):  
Dynamic Response ◽  
Frequency Response ◽  
Response Function ◽  
Mechanical Model ◽  
Frequency Response Function ◽  
Open Loop ◽  
Motorcycle Rider ◽  
Loop Stability ◽  
The Way

Abstract It is known that the way a bicycle or motorcycle rider grasps the handlebar may have implications on the bike stability. Indeed, the rider closes a loop (with his/her hands) between the front assembly and the chassis of the bike, which in turn affects the open-loop stability of the vehicle. The aim of this paper is to experimentally quantify the interaction between the rider and the handlebar through the frequency response function (FRF), and to numerically simulate the effects of such interaction on the bicycle stability. In order to implement the effect of rider’s arms/hands, a mechanical model is employed to fit the experimental FRFs. The parameters of a number of different riders have been derived and used to assess the effect on bike dynamics.

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