A reduced order state space model for aeroelastic analysis in time domain

We develop time‐domain state‐space models for lossless layered media which are described by the wave equation and boundary conditions. We develop state‐space models for two cases: (1) source and sensor at the surface, and (2) source and sensor in the first layer. Our models are for nonequal one‐way traveltimes; hence, they are more general than most existing models of layered media which are usually for layers of equal one‐way traveltimes. A notable exception to this is the work of Wuenschel (1960); however, most of the useful results even in his paper are developed only for the uniform traveltime case. Our state‐space model treat all of the equations that describe a layered‐media system together in the time domain. Earlier approaches (e.g., Wuenschel, 1960; Robinson, 1968) recursively connect adjacent layers by means of frequency‐domain relationships. We refer to our state equations as “causal functional equations.” They actually represent a new class of equations. Why are we interested in a different class of models for what appears to be a well‐studied system? As is well known, there is a vast literature associated with systems which are described by time‐domain state‐space models. Most recent results in estimation and identification theories, for example, require a state‐space model. These time‐domain techniques have proven very beneficial outside of the geophysics field and we feel should also be beneficial in the geophysics field. In fact, our ultimate objective is to apply those theories to the layered‐media problem; but, to do so, of course, requires state‐space models—hence, this paper.

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An improved time-domain response estimation method for floating structures based on rapid solution of a state-space model

Ocean Engineering ◽

10.1016/j.oceaneng.2018.12.073 ◽

2019 ◽

Vol 173 ◽

pp. 628-642 ◽

Cited By ~ 2

Author(s):

Hongchao Lu ◽

Zhe Tian ◽

Lin Zhou ◽

Fushun Liu

Keyword(s):

State Space ◽

Time Domain ◽

State Space Model ◽

Estimation Method ◽

Floating Structures ◽

Space Model ◽

Time Domain Response

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Experimental Results of Modeling Variable Order System Based on Discrete Fractional Variable Order State-Space Model

Theoretical Developments and Applications of Non-Integer Order Systems - Lecture Notes in Electrical Engineering ◽

10.1007/978-3-319-23039-9_11 ◽

2015 ◽

pp. 129-139 ◽

Cited By ~ 2

Author(s):

Dominik Sierociuk ◽

Michal Macias ◽

Pawel Ziubinski

Keyword(s):

State Space ◽

State Space Model ◽

Experimental Results ◽

Order System ◽

Variable Order ◽

Space Model ◽

Order State

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Analysis of propulsion system dynamics in the validation of a high-order state space model of the UH-60

10.2514/6.1992-4150 ◽

1992 ◽

Cited By ~ 4

Author(s):

FREDERICK KIM

Keyword(s):

System Dynamics ◽

State Space ◽

State Space Model ◽

High Order ◽

Propulsion System ◽

Space Model ◽

Order State

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An investigation into a state space model for an attenuator in automotive hydraulic systems

Proceedings of the Institution of Mechanical Engineers Part D Journal of Automobile Engineering ◽

10.1243/095440703762702987 ◽

2003 ◽

Vol 217 (1) ◽

pp. 63-67 ◽

Cited By ~ 2

Author(s):

J-C Lee

Keyword(s):

State Space ◽

Time Domain ◽

State Space Model ◽

The State ◽

Dynamic Responses ◽

Space Representation ◽

Response Analysis ◽

Space Model ◽

Electrical Analogy ◽

The Time Domain

A hydraulic attenuator has been used in hydraulic active suspension systems of automotive vehicles to reduce high amplitude ripple pressure of a pump. The hydraulic attenuator considered in this study is so highly non-linear and of high order that the analysis in the time domain has been performed infrequently, although the frequency response analysis with the transfer matrix method was applicable. In this paper, a state space representation of the dynamics for a hydraulic attenuator is presented, utilizing the electrical analogy. The results of the experiment are compared with those of the simulation to validate the state space model proposed. The comparison reveals that the state space model proposed is practically applicable for estimating the dynamic responses of the hydraulic attenuator in the time domain.

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