Finite element analysis and distributed control of laminated composite shells using LQR/IMSC approach

Bhattacharya, Pinaki; Suhail, H.; Sinha, Prasanta Kumar

doi:10.1016/s1270-9638(02)01159-8

Cited by 36 publications

(26 citation statements)

References 12 publications

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“…Considering the now vast literature in the vibration control area, there is no consensus regarding the most suitable control design method. Several techniques seem to give similar results, as shown in the works of Baz & Chen (2000); Bhattacharya et al (2002); Hurlebaus et al (2008). Linear matrix inequalities methods, due to powerful yet simple formulation and computational solution to implement the theory of robust control, present nowadays a slight predominance (Boyd et al, 1994;Zhou & Doyle, 1997).…”

Section: Introductionmentioning

confidence: 67%

A Decentralized and Spatial Approach to the Robust Vibration Control of Structures

Mazoni¹,

Serpa²,

Nóbrega³

2011

Challenges and Paradigms in Applied Robust Control

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Section: Introductionmentioning

confidence: 67%

A Decentralized and Spatial Approach to the Robust Vibration Control of Structures

Mazoni¹,

Serpa²,

Nóbrega³

2011

Challenges and Paradigms in Applied Robust Control

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“…The transverse normal stress z σ is neglected ( 0 z  ) in comparison with other stress components. Using this assumption, the linear constitutive equations relating the in-plane stresses σ and transverse shear stresses  to the inplane strains  and transverse shear strains γ of a generally orthotropic piezoelectric lamina are expressed as (2) where a subscript comma denotes partial differentiation. x u , y u and w denote the inplane and transverse displacements, and  is the electric potential.…”

Section: Efficient Zigzag Theory For Hybrid Piezoelectric Shellmentioning

confidence: 99%

“…They used a higher order layerwise theory to estimate the coupled strain and stresses accurately. A shear deformable shell element based on Reissner's hypothesis for the analysis of smart laminated composite shells has been developed by Bhattachariya et al [2]. They adopted an IMSC based LQR control methodology for the active vibration control of laminated spherical shell.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control of composite shallow shells: An integrated approach

Rahman¹,

Alam²,

Junaid³

2018

J. MECH. ENG. SCI.

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Active vibration control of smart composite shallow shells with distributed piezoelectric sensors and actuators is presented in this work. An integrated approach is used for recording the uncontrolled and controlled vibration response under pressure impulse load. The FE model developed in ABAQUS is utilized to generate the global mass, stiffness and load matrices of the system. The system matrices are arranged in statespace format and the dynamic equations of the system are obtained. The controlled responses are achieved using the inputs from FE model in ABAQUS in conjunction with the developed MATLAB codes for Constant Gain Velocity Feedback (CGVF) and Linear Quadratic Regulator (LQR) control strategies. The method is first validated by comparing the natural frequencies obtained using the ABAQUS generated matrices with that obtained using an FE model with four noded quadrilateral shallow shell element based on efficient zigzag theory. The shell element uses the concept of electric nodes to satisfy the equipotential condition of electrode surface. An 8-noded linear piezoelectric brick element is used for piezoelectric layers and an 8-noded quadrilateral continuum shell element is used for the elastic layers of hybrid shells for making the finite element mesh in ABAQUS. The non-dimensional natural frequencies and active vibration control responses for hybrid composite cylindrical and spherical shells are presented for clamped-clamped and cantilever boundary conditions. Boundary conditions have significant effect on vibration amplitude, control voltage and settling time. In comparison to CGVF controller, a better control in lesser time is achieved with LQR controller for a shell with similar boundary conditions. Larger gain values (G) are required for vibration control of thick shells.

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“…Examples include, but are not limited to, early modal control avoiding spillover phenomena (Balas, 1978), recent modal control strategies were described and highlighted in (Inman, 2006;Singh et al, 2003), the conventional PID control (Sutton et al, 1999): input shaping (Singhose et al, 1997), minmax LQR (Petersen & Pota, 2003), modal control (Hurlebaus et al, 2008), H 2 /H  robust (Anthonis et al, 1999), distributed controller (Bhattacharya et al, 2002); time delay control (Jalili & Olgac, 1999) model predictive controller (Wills et al, 2008), nonlinear controller (Gaudiller & Matichard, 2007); and spatial H 2 and H  controllers (Halim, 2007;Halim et al, 2008;Barrault et al, 2008;Mazoni et al, 2011). This control approach allows achieving vibration control at spatial regions of interest, which may be, very useful in a DTAC system.…”

Section: Area 2: Active Control Of Vibrationmentioning

confidence: 99%

Damage Tolerant Active Control: Concept and State of Art

Mechbal

Nóbrega

2012

IFAC Proceedings Volumes

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Abstract: Damage tolerant active control is a new research area related to fault tolerant control design methods applied to mechanical structures. It encompasses several techniques commonly used to design active vibration controllers and to detect and diagnose faults, as well to monitor structural integrity. Brief reviews of the common intersections of these areas are presented, with the purpose to clarify their interrelations and also to justify the new controller design paradigm. Some examples help to better understand the role of the new area.

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Finite element analysis and distributed control of laminated composite shells using LQR/IMSC approach

Cited by 36 publications

References 12 publications

A Decentralized and Spatial Approach to the Robust Vibration Control of Structures

A Decentralized and Spatial Approach to the Robust Vibration Control of Structures

Active vibration control of composite shallow shells: An integrated approach

Damage Tolerant Active Control: Concept and State of Art

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