Finite element analysis of laminated shells with exact through-thickness integration

Kumar, W.P. Prema; Palaninathan, R.

doi:10.1016/s0045-7949(96)00297-0

Cited by 34 publications

(25 citation statements)

References 10 publications

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“…The stiffness matrix utilized in this work follows a formulation proposed by Kumar and Palaninathan (1997), using an explicit integration on the thickness direction. The elemental transverse integration is accomplished using the third model presented in that paper, in which the inverse isoparametric mapping Jacobian matrix is assumed as being constant, and its computations is executed only on the reference surface.…”

Section: Stiffness and Mass Matricesmentioning

confidence: 99%

Optimal Placement of Piezoelectric Macro Fiber Composite Patches on Composite Plates for Vibration Suppression

Padoin¹,

Fonseca²,

Perondi³

et al. 2015

Lat. Am. j. solids struct.

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The increasing demand for light structures in important applications highlights the necessity for using advanced methods in their design, as the structural optimization and optimal control. With sensors and actuators integrated through control systems, these structures have the capacity of sensing environment changes, diagnose localized problems, store and process measured data. They are, then, able to take appropriate action to improve the efficiency of the system or to preserve their structural integrity and safety [Cheng et al. (2008)]. Important applications, according to Abstract This work presents a new methodology for the parametric optimization of piezoelectric actuators installed in laminated composite structures, with the objective of controlling structural vibrations. Problem formulation is the optimum location of a Macro Fiber Composite (MFC) actuator patch by means the maximization of the controllability index. The control strategy is based on a Linear Quadratic Regulator (LQR) approach. For the structural analysis, the modeling of the interaction between the MFC and the structure is made taking into account the active material as one of the orthotropic laminate shell layers. The actuation itself is modeled as an initial strain arising from the application of an electric potential which deforms the rest of the structure. Thereby, modeling the electric field and the electromechanical coupling within the actuator is avoided because these effects are considered analytically. Numerical simulations show that the structural model presents good agreement with numerical and experimental results. Furthermore, the results show that optimizing the location of the actuator in the structure helps the control algorithm to reduce induced structural vibration. KeywordsParametric optimization, macro fiber composite, LQR optimal control, laminated composite material. Crawley (1994), are systems that can sense induced vibration and, thus, applying forces to control the amplitudes. Smart structures are applied mainly in the aerospace industry, where they can be found, for instance, in flexible robot manipulators [Zimcik and Yousefi (2003)]. EduardoThe development of methods to design smart structures is a promising research field, fueled by the existing demand for these structures and the great range of possible applications. In the research area of structural design, the topologic and parametric optimization methods contribute efficiently in the design of lighter structures, decreasing costs and the material utilized, evidencing the sustainability aspects of these approaches [Haftka and Gürdal (1991), Bendsøe and Sigmund (2003)].Optimized structures usually present reduced mass and low internal damping. These features induce the occurrence of structural vibrations, which may cause undesirable operational effects, for instance in positioning accuracy. According to Preumont (2002), the use of an active control system integrated by sensors and actuators is crucial in smart structures. This article presents the applicatio...

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Section: Stiffness and Mass Matricesmentioning

confidence: 99%

Optimal Placement of Piezoelectric Macro Fiber Composite Patches on Composite Plates for Vibration Suppression

Padoin¹,

Fonseca²,

Perondi³

et al. 2015

Lat. Am. j. solids struct.

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show abstract

“…The stiffness matrix utilized in this work follows a formulation proposed by [10], using an explicit integration on the thickness direction. The elemental transverse integration is accomplished using the third model presented in that paper, in which the inverse isoparametric mapping Jacobian matrix is assumed constant, and its computations are carried only on the reference surface.…”

Section: Stiffness and Mass Matricesmentioning

confidence: 99%

“…The objective function is the trace of the controllability Gramian and topology optimization formulation can be described as: (10) where is the control design variable, is the maximum value of the volume constraint, N is the vector dimension of the design variable. The controllability Gramian matrix W C of the system is defined by the following Lyapunov equation [13]: (11) where A and B are the matrices defined in [6].…”

Section: Topology Optimizationmentioning

confidence: 99%

Topology optimization of Piezoelectric Macro Fiber Composite Patches on Composite Plates for active vibration control

Padoin¹,

Fonseca²,

Menuzzi³

2016

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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Abstract. This paper presents a topology optimization methodology of piezoelectric actuators in laminated composite structures. The Linear Quadratic Regulator (LQR) optimal control technique is used. The topology optimization is formulated to find the optimum localization of the Macro Fiber Composite (MFC), through of the maximization of the controllability index. Actuator location optimization results show that the technique implemented improves the structural vibration damping.

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“…Kumar and Palaninathan presented a formulation for the stiffness matrix assembly in which the inverse isoparametric mapping Jacobian matrix is considered constant, the computations are carried only on the reference surface [12].…”

Section: Structural Analysismentioning

confidence: 99%

Orientation Optimization for the Flutter Onset in Fiber Reinforced Laminated Plates Using Mac

Varella¹,

Leon²,

Fonseca³

et al. 2014

Proceedings of 10th World Congress on Computational Mechanics

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Finite element analysis of laminated shells with exact through-thickness integration

Cited by 34 publications

References 10 publications

Optimal Placement of Piezoelectric Macro Fiber Composite Patches on Composite Plates for Vibration Suppression

Optimal Placement of Piezoelectric Macro Fiber Composite Patches on Composite Plates for Vibration Suppression

Topology optimization of Piezoelectric Macro Fiber Composite Patches on Composite Plates for active vibration control

Orientation Optimization for the Flutter Onset in Fiber Reinforced Laminated Plates Using Mac

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