Active control of nonlinear dynamic response of space-frames using piezo-electric actuators

Shi, G.; Atluri, Satya N.

doi:10.1016/0045-7949(90)90233-r

Cited by 46 publications

(19 citation statements)

References 6 publications

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“…If the solution matrix P2l, P22 is obtained, the optimal control L/* can be computed by equations (88) (Hwang and Park, 1993;Im and Atluri, 1989;Shi and Atluri, 1990) is studied. The structure was made of two layers of piezoelectric polymeric PVDF with opposite polarity.…”

Section: Riccati Equationmentioning

confidence: 99%

A New Intelligent 3-D Thin Shell Element and the Optimal Dynamic Shape Control of a Paraboloid Antenna

Chen

Yao

Cao

2000

Journal of Vibration and Control

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In this paper, a new three-dimensional thin laminated shell element for the structure containing an integrated distributed piezoelectric sensor and actuator is proposed. A finite element formulation is derived for modeling the dynamic as well as static response of laminated shell with piezoelectric sensors/actuators. The performance of the shell elements is improved by reduced integration technique. The optimal shape control of structure is derived. The shell element is verified by calculating piezoelectric polymeric PVDF bimorph beam. The results agreed with those obtained by theoretical analysis fairly well. Finally, the optimal shape control of a paraboloid antenna is studied.

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Section: Riccati Equationmentioning

confidence: 99%

A New Intelligent 3-D Thin Shell Element and the Optimal Dynamic Shape Control of a Paraboloid Antenna

Chen

Yao

Cao

2000

Journal of Vibration and Control

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“…Nonlinear vibration control problems based on Bernoulli-type beam theories have been treated by Shi and Atluri [61], Lee and Beale [62], and recently by Zhou and Wang [63] adopting the von Kármán nonlinearity, and by Chróscielewski, Klosowski and Schmidt [46,64,65] adopting a finite rotation theory. Tzou and Zhou [66,67], Zhou and Tzou [68] studied the active control of nonlinear piezoelectric circular plates and shells with von Kármán-type geometric nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Chróścielewski

Schmidt

Eremeyev

2018

Continuum Mech. Thermodyn.

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This paper addresses modeling and finite element analysis of the transient large-amplitude vibration response of thin rod-type structures (e.g., plane curved beams, arches, ring shells) and its control by integrated piezoelectric layers. A geometrically nonlinear finite beam element for the analysis of piezolaminated structures is developed that is based on the Bernoulli hypothesis and the assumptions of small strains and finite rotations of the normal. The finite element model can be applied to static, stability, and transient analysis of smart structures consisting of a master structure and integrated piezoelectric actuator layers or patches attached to the upper and lower surfaces. Two problems are studied extensively: (i) FE analyses of a clamped semicircular ring shell that has been used as a benchmark problem for linear vibration control in several recent papers are critically reviewed and extended to account for the effects of structural nonlinearity and (ii) a smart circular arch subjected to a hydrostatic pressure load is investigated statically and dynamically in order to study the shift of bifurcation and limit points, eigenfrequencies, and eigenvectors, as well as vibration control for loading conditions which may lead to dynamic loss of stability.

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“…Many researchers have contributed toward understanding of the non-linear behavior of composite structures and extensive theoretical, analytical, and numerical studies are available on non-linear bending and vibration of composite plates (Akay, 1980;Pica et al, 1980;Reddy and Chao, 1981;Reddy, 1983Reddy, , 2004Putcha and Reddy, 1986;Singh et al, 1994;Chen et al, 2000;Dash and Singh, 2010). Few works on non-linear bending and vibration analalysis of smart plates using piezoceramics/PVDF patches are seen in recent years (Shi and Atluri, 1990;Pai et al, 1993;Moita et al, 2002;Gao and Shen, 2003;Shen, 2004;Huang and Shen, 2005). However, considerably less research works on active control of non-linear behavior of AFC smart structure are available.…”

Section: Introductionmentioning

confidence: 99%

Active Control of Geometrically Non-linear Transient Response of Smart Laminated Composite Plate Integrated with AFC Actuator and PVDF Sensor

Kerur

Ghosh

2011

Journal of Intelligent Material Systems and Structures

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A coupled electromechanical finite element formulation for active control of geometrically non-linear transient response of laminated composite plate is studied. First-order shear deformation theory and von Karman type non-linear strain displacements are used. The plate is discritized using eight-noded quadratic isoparametric elements with five mechanical degrees of freedom and one electrical degree of freedom per node. Newton-Raphson iterative method in association with Newmark time integration method is used to solve the non-linear finite element equilibrium equation. Negative velocity feedback control algorithm is used to control the dynamic response of the smart laminated composite plate. AFC layer poled in fiber direction acting as distributed actuator and PVDF layer poled in thickness direction acting as sensor are considered. This study involves two types of actuator sensor arrangements: (1) the substrate is sandwiched between AFC actuator and PVDF sensor, called non-collocated arrangement and (2) AFC actuator and PVDF sensor are placed on top of the substrate, called collocated arrangement. The effect of piezoelectric fiber orientation in actuator layer on vibration control for both cross-ply and angle-ply laminates are examined.

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Active control of nonlinear dynamic response of space-frames using piezo-electric actuators

Cited by 46 publications

References 6 publications

A New Intelligent 3-D Thin Shell Element and the Optimal Dynamic Shape Control of a Paraboloid Antenna

A New Intelligent 3-D Thin Shell Element and the Optimal Dynamic Shape Control of a Paraboloid Antenna

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Active Control of Geometrically Non-linear Transient Response of Smart Laminated Composite Plate Integrated with AFC Actuator and PVDF Sensor

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