Velocity feedback damping of piezo-actuated wings

Wang, Xiao; Morandini, Marco; Masarati, Pierangelo

doi:10.1016/j.compstruct.2017.04.016

Cited by 10 publications

(9 citation statements)

References 31 publications

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“…Considering the angle Ψ that appears between the vectors n i and n s,i as a field variable, it is possible to re-express the strain tensor in terms of the field variables (𝜃, 𝜑, Ψ, Λ) instead of the prior (𝜃, 𝜑, u 0 , w 0 ). Then, relations in Equation ( 11) may be written and Equation (10) become Equation (12).…”

Section: Strain Tensormentioning

confidence: 99%

“…Then giving the (sub)equilibrium equations: K (11) ij q (1) j + K (12) ij q (2) j − F (1) e,i = 0, K (21) ij q (1) j + K (22) ij q (2) j − F (2) e,i = 0. (56)…”

Section: Piezoelectric Problem Statementunclassified

“…The multiform and force of piezoelectric-mechanical coupling in structural systems thus has been widely explored in the last years, reveling a tendency of a generalization of their use in structures in the future. In Wang and Xia 11 and Wang et al, 12 a beam embedded with piezoelectric layers behaving as actuators and their effect on beam's vibration suppression via an optimal linear-quadratic controller is analyzed. In order to capture the nonlinear geometric effect on a beam associated with piezoelectric layers, Monteiro et al 13 and Neto et al 14 have recently proposed a beam element whereby small strains but large rotations are incorporated in a total Lagrangian description.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A geometrically nonlinear structural formulation for analysis of beams with a new set of generalized displacements considering piezoelectric effects

Silva

Donadon

Cabral

2021

Numerical Meth Engineering

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In this article, a nonlinear structural formulation that uses a new dimensionless set of generalized displacements is proposed for solving geometrically nonlinear beam problems, being validated by several applications given in literature where a cantilever beam is likely to undergo large displacements. By this approach, useful simplifications and insights are achievable in the analysis process, as the system matrices becoming linear and the reduction of required interpolation continuity degree. The formulation is firstly developed-in a Lagrangian perspective-and the equilibrium equations are then derived using Hamilton's principle. In the sequence, using finite element method, it is substantiated by comparison to examples given in literature in static, dynamic, and finally in an application where piezoelectric effects intervene, in order to assess its multiframework capabilities and deliver a convenient approach whereby beams constituted of smart or conventional materials can be efficiently studied.

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Section: Strain Tensormentioning

confidence: 99%

“…Then giving the (sub)equilibrium equations: K (11) ij q (1) j + K (12) ij q (2) j − F (1) e,i = 0, K (21) ij q (1) j + K (22) ij q (2) j − F (2) e,i = 0. (56)…”

Section: Piezoelectric Problem Statementunclassified