Macromodeling Method of Fluid-Structure Interacting MEMS Based on Modal Analysis and Proper Orthogonal Decomposition

2007 ◽  
Author(s):  
Wentao Hao ◽  
Ling Tian ◽  
Bingshu Tong
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Modal Analysis ◽  
Degrees Of Freedom ◽  
Orthogonal Decomposition ◽  
Mems Devices ◽  
High Complexity ◽  
Fluid Structure ◽  
Fluid Field ◽  
Speed Up ◽  
Proper Orthogonal

Because of their good performance to speed up MEMS system simulation processes, macromodels have aroused lots of attentions of scientists in the last decades. However, studies on FSI (Fluid-Structure Interaction) MEMS devices still can not satisfy the macromodeling requests because of the high complexity of fluid fields. A new method based on modal analysis and POD (Proper Orthogonal Decomposition) is tentatively put forward to reduce the order of FSI MEMS models. The structure macromodeling theory is firstly reviewed. Then the fluid field macromodeling approach is discussed in detail. At last, a 2D fixed-fixed micro-beam is analyzed and the results show that the macromodel extracted in this method can highly decrease the system degrees of freedom, while its precision is still comparable with that of detailed models.

scholarly journals Proper orthogonal decomposition investigation in fluid structure interaction

2007 ◽  
pp. 401-418
Author(s):  
Erwan Liberge ◽  
Mustapha Benaouicha ◽  
Aziz Hamdouni
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Fluid Structure Interaction ◽  
Orthogonal Decomposition ◽  
Fluid Structure ◽  
Reduced Order ◽  
One Dimensional ◽  
Structure Interaction ◽  
Moving Domain ◽  
The One ◽  
Proper Orthogonal

This paper describes Reduced Order Modeling (ROM) in Fluid Structure Interaction (FSI) and discusses Proper Orthogonal Decomposition (POD) utilization. The ROM method was selected because its performance in fluid mechanics. The principal problems of its application in FSI are due the space character of the modes resulting from the POD whereas domains are mobile. To use POD in moving domain, a charateristic function of fluid is introduced in order to work on a fixed rigid domain, and the global velocity (fluid and structure) is studied. The POD modes efficiency is tested to reconstruct velocity field in one and two-dimensional FSI case. Then reducing dynamic system using POD is introduced in moving boundaries problem. In addition, the one dimensional case of Burgers equation coupled with spring equation is tested.

Systematic Characterization of Coupled Structural-Acoustic Systems With the Aid of Temporal and Spectral (Complex) Proper Orthogonal Decomposition

2008 ◽  
Author(s):  
Christos I. Papadopoulos ◽  
Ioannis T. Georgiou
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Proper Orthogonal Decomposition ◽  
Transient Response ◽  
Degrees Of Freedom ◽  
Sound Propagation ◽  
Orthogonal Decomposition ◽  
Pod Analysis ◽  
Proper Orthogonal ◽  
Spectral Complex

We extend the application of temporal and spectral Proper Orthogonal Decomposition (POD) to study the sound propagation and sound-structure interaction of systems combined of acoustic and structural subsystems. We consider a prototypical system consisted of two adjacent rooms separated by a sound insulating plate. Approximation to the steady-state and transient response is obtained with the aid of the finite element method. We define the temporal (real) and spectral (complex) variations of POD to tackle acoustical and structural degrees of freedom. We apply the method to process the numerical databases of the finite element solutions. It is shown that the steady-state and transient response may be represented by a small number of dominant POD modes. The extracted frequencies and spatial shapes are evaluated and linked to the modal properties of the system. It is shown that POD analysis may provide significant insight on the properties of coupled structural-acoustic systems.

Reduced Order Models of Viscous Flows in Turbomachinery Using Proper Orthogonal Decomposition

1999 ◽  
Author(s):  
Bogdan I. Epureanu ◽  
Earl H. Dowell ◽  
Kenneth C. Hall
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Frequency Domain ◽  
Degrees Of Freedom ◽  
Orthogonal Decomposition ◽  
Full Potential ◽  
Reduced Order Models ◽  
Full System ◽  
Integral Boundary ◽  
Reduced Order ◽  
Proper Orthogonal

Abstract The proper orthogonal decomposition technique is applied in the frequency domain to obtain reduced order models (ROM) of the flow in a cascade of airfoils. The flow is described by a inviscid-viscous interaction model where the inviscid part is described by the full potential equation and the viscous part is described by an integral boundary layer model. The fully nonlinear steady flow is computed and the unsteady flow is linearized about the steady solution. A frequency domain model is constructed and validated showing to provide similar results when compared with previous computational and experimental data presented in the literature. A cascade of airfoils forming a slightly modified Tenth Standard Configuration is numerically investigated. We show that the ROMs with only 10 to 40 degrees of freedom predict accurately the unsteady response of the full system with approximately 10,000 degrees of freedom for the subsonic case. We also show that the ROMs with 15 to 75 degrees of freedom predict accurately the unsteady response of the full system with approximately 17, 500 degrees of freedom for the transonic case. The ROMs are shown to be accurate both for a broad range of reduced frequencies and a full spectrum of interblade phase angles.

Modal analysis of wingtip vortices by means of Proper Orthogonal Decomposition

PAMM ◽  
2017 ◽  
Vol 17 (1) ◽  
pp. 693-694
Author(s):  
Sebastian Dufhaus ◽  
Sarina Brautmeier ◽  
Anna Uhl ◽  
Ralf Hörnschemeyer ◽  
Eike Stumpf
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Modal Analysis ◽  
Orthogonal Decomposition ◽  
Proper Orthogonal

Enhanced Proper Orthogonal Decomposition for the Modal Analysis of Homogeneous Structures

2002 ◽  
Vol 8 (1) ◽  
pp. 19-40 ◽  
Author(s):  
S. Han ◽  
B. F. Feeny
Keyword(s):  
Finite Element ◽  
Proper Orthogonal Decomposition ◽  
Modal Analysis ◽  
Normal Modes ◽  
Orthogonality Condition ◽  
Orthogonal Decomposition ◽  
Analysis Tool ◽  
Homogeneous Structures ◽  
Proper Orthogonal ◽  
Modal Coordinates

Proper orthogonal decomposition (POD) is studied in an effort to increase its applicability as a modal analysis tool. A modification is proposed to make better use of spatial resolution and to accommodate arbitrary spacing in the discretization. The theory for this modification is rooted in the discrete approximation of the integral orthogonality condition for continuous normal modes. The modified POD is applied to a finite element beam and an experimental beam sensed with accelerometers, and the resulting proper orthogonal modes (POMs) are compared to the theoretical modes of the beam. The POMs are used as a basis for decomposing the signal ensemble into proper modal coordinates. The proper modal coordinates are used to evaluate the POMs and to match modes with modal frequencies and damping.

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