Investigation and Implementation of Model Order Reduction Technique for Large Scale Dynamical Systems

Suman, Shankar; Kumar, Awadhesh

doi:10.1007/s11831-021-09690-8

Cited by 9 publications

(2 citation statements)

References 172 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In mechanical engineering practice, the number of multi-DOF applications is relatively small, but for some cases, such as seismic analysis and design specifications, more needs to be considered. Therefore, how to specify the number of application modes to calculate the response is based on the participation of large-scale modes [14].…”

Section: Introductionmentioning

confidence: 99%

Modal truncation method for continuum structures based on matrix norm: modal perturbation method

Kang,

Yuan,

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

Modal analysis is a widely applied method to study the vibration phenomenon of continuum structures, but there is no clear method to solve the modal truncation problem at present. In order to determine the contribution of different modes to the whole system, a new mode truncation method based on perturbation theory is proposed in this paper. In the process of discretization, perturbation parameters are introduced into the modes, and the modal number in the continuum structure system is confirmed according to the norm error of stiffness matrix in different degrees of freedom (DOFs) systems. The results show that the DOF identified by the modal perturbation method is related to the perturbation parameters, and the smaller the perturbation parameters are, the fewer modes need to be considered. When the perturbation parameter is large enough, the response of the system can only be accurately explained by truncation to higher-order modes. Finally, the perturbation parameter is fixed to 1, and the modal perturbation is connected with the traditional Galerkin method, which means that the traditional discretization is a special case of the modal perturbation method, and the number of modes can still be determined by the induced norm. This method can significantly reduce the modal truncation error, which is of great significance to the dynamic analysis of engineering applications.

show abstract

Section: Introductionmentioning

confidence: 99%

Modal truncation method for continuum structures based on matrix norm: modal perturbation method

Kang,

Yuan,

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

“…All these approaches are based on a state truncation, that is part of the system's evolution is neglected, thus leaving only the part related to the slow evolution. The interested reader can find up-to-date surveys on these and other model order reduction techniques in [11], [12], as well as more classic references such as [13], [14], [15], and [16].…”

Section: Introductionmentioning

confidence: 99%

Singular Perturbations for Implicit port-Hamiltonian systems

Spirito,

Maschke,

Le Gorrec

2024

2024 European Control Conference (ECC)

View full text Add to dashboard Cite

In this work, we present the standard Singular Perturbations technique applied to Implicit port-Hamiltonian systems. The investigation produces a structure-preserving reduced-order model if certain additional passivity conditions are satisfied. Moreover, such an investigation provides a different insight into the standard Singular Perturbations approach relating the negligible time constant parameters ε to energy parameters. We analyze the deviation between the complete system model and the reduced one via a Lyapunov-based approach. We then conclude the paper by applying the proposed reduced order model to a DC-motor example to show the effectiveness of the development.

show abstract

A New Scheme for the Approximation of Linear Dynamical Systems and Its Application to Controller Design

Suman

2023

Circuits Syst Signal Process

View full text Add to dashboard Cite

Investigation and Implementation of Model Order Reduction Technique for Large Scale Dynamical Systems

Cited by 9 publications

References 172 publications

Modal truncation method for continuum structures based on matrix norm: modal perturbation method

Modal truncation method for continuum structures based on matrix norm: modal perturbation method

Singular Perturbations for Implicit port-Hamiltonian systems

A New Scheme for the Approximation of Linear Dynamical Systems and Its Application to Controller Design

Contact Info

Product

Resources

About