Joint Elastic and Piezoelectric Tailoring of Composite Box Beams: Constructive Force Participation and Limits of Pure Twist
- 1National Key Laboratory of Helicopter Aeromechanics, Helicopter Research Institute, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract
Joint elastic and piezoelectric tailoring can recruit non-torsional actuator resultants to assist twist, but this assistance restricts deformation purity. For symmetric positive-definite stiffness, the classical three-vector Gram inequality yields a sharp participation–purity bound: when no generalized force opposes twist, energy-metric purity cannot exceed the ratio of relaxed to blocked torsional stiffness. A closed torque-share threshold quantifies cancellation above this ceiling on the positive-torque branch. Extension–bending and shear–torsion block contributions are invariant under the stated physical reference changes, separating elastic-coupling assistance from shear-center relabeling. Exact conic and linear-programming voltage allocations remove voltage-pattern bias from structural comparisons. In a piezocomposite-box benchmark, the best attained uniform-wall joint gain is 10.53% at 20% axial/flexural floors and a retained torsional-stiffness floor, while a fixed representative’s purity frontier follows the predicted cancellation threshold. At fixed material volume, host redistribution and host-angle tailoring dominate the additional gain; tested constructive and near-symmetric candidates give framed-shell gains of 26.75–31.45%, with a 1.83% section-model increment from actuator-angle freedom beyond the thickness/host result at the selected ratio. Laminate-shell and published passive sectional-matrix comparisons delimit the applicability of the sectional predictions.
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BibTeX
@article{wang2026joint,
title = {{Joint Elastic and Piezoelectric Tailoring of Composite Box Beams: Constructive Force Participation and Limits of Pure Twist}},
author = {Xiao Wang and Shuai Zhao and Wendi Zhang and Lina Shang},
journal = {Mathematics},
year = {2026},
month = nov,
doi = {10.3390/math14214019},
url = {https://www.mdpi.com/2227-7390/14/21/4019},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Joint Elastic and Piezoelectric Tailoring of Composite Box Beams: Constructive Force Participation and Limits of Pure Twist
AU - Xiao Wang
AU - Shuai Zhao
AU - Wendi Zhang
AU - Lina Shang
PY - 2026
DA - 2026/11/03
JO - Mathematics
DO - 10.3390/math14214019
UR - https://www.mdpi.com/2227-7390/14/21/4019
AB - Joint elastic and piezoelectric tailoring can recruit non-torsional actuator resultants to assist twist, but this assistance restricts deformation purity. For symmetric positive-definite stiffness, the classical three-vector Gram inequality yields a sharp participation–purity bound: when no generalized force opposes twist, energy-metric purity cannot exceed the ratio of relaxed to blocked torsional stiffness. A closed torque-share threshold quantifies cancellation above this ceiling on the positive-torque branch. Extension–bending and shear–torsion block contributions are invariant under the stated physical reference changes, separating elastic-coupling assistance from shear-center relabeling. Exact conic and linear-programming voltage allocations remove voltage-pattern bias from structural comparisons. In a piezocomposite-box benchmark, the best attained uniform-wall joint gain is 10.53% at 20% axial/flexural floors and a retained torsional-stiffness floor, while a fixed representative’s purity frontier follows the predicted cancellation threshold. At fixed material volume, host redistribution and host-angle tailoring dominate the additional gain; tested constructive and near-symmetric candidates give framed-shell gains of 26.75–31.45%, with a 1.83% section-model increment from actuator-angle freedom beyond the thickness/host result at the selected ratio. Laminate-shell and published passive sectional-matrix comparisons delimit the applicability of the sectional predictions.
SN - 2227-7390
ER -