What does this research mean for the field?

A modal-data-driven framework utilizing covariance matrix adaptation evolution strategy (CMA-ES) for boundary-stiffness identification enables highly accurate vibration-based evaluation of cable tension under uncertain boundary conditions, with errors typically below 1%. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To establish an accurate vibration-based framework for identifying cable tension in cable-supported bridges under conditions of uncertain elastic boundary stiffness.

September 8, 2026Advances in Structural EngineeringOpen Access

Equivalent boundary stiffness identification based on CMA-ES for refined cable tension inversion

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Authors

YLYangfan Lv QSQuanke Su ZXZHOU Xudong

Discussion

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Overview

Validation study demonstrates high-precision cable tension estimation under uncertain boundary restraints, highlighting improved vibration-based construction control for cable-supported bridges.

Key Points

To establish an accurate vibration-based framework for identifying cable tension in cable-supported bridges under conditions of uncertain elastic boundary stiffness.
Coupled a finite-element forward model with a covariance matrix adaptation evolution strategy (CMA-ES) to identify non-dimensionalized equivalent boundary stiffness using frequency residual optimization.
Developed a Monotone–Bracketing Newton scheme that integrates bracketing, modal assurance criterion (MAC)-based modal-branch locking, and sensitivity-driven updates for cable-tension inversion.
Validated the framework using numerical simulations of 50 cables, laboratory strand tests under three unknown boundary conditions, and field monitoring of an in-construction cable-stayed bridge.
Numerical evaluations across 50 cables using 100 identified sets of equivalent boundary stiffnesses yielded a 95th-percentile cable-tension error of 5.59 × 10⁻⁴.
Laboratory strand experiments under three unknown boundary conditions maintained tension errors mostly within 0.5%, reaching a maximum error of 0.92%.
In-construction bridge testing demonstrated tension errors within 1% for instrumented cables, stage-wise tension differences mostly under 2%, and a maximum main-girder vertical alignment deviation of approximately 5 cm.

Cite This Study

Lv et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd81458e84d0ff5b47378 https://doi.org/10.1177/13694332261486240

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September 8, 2026Advances in Structural EngineeringOpen Access

Equivalent boundary stiffness identification based on CMA-ES for refined cable tension inversion

View Full Paper

Ask AI

Bookmark

Authors

YLYangfan Lv QSQuanke Su ZXZHOU Xudong

Discussion

Member takes

Overview

Validation study demonstrates high-precision cable tension estimation under uncertain boundary restraints, highlighting improved vibration-based construction control for cable-supported bridges.

Key Points

To establish an accurate vibration-based framework for identifying cable tension in cable-supported bridges under conditions of uncertain elastic boundary stiffness.
Coupled a finite-element forward model with a covariance matrix adaptation evolution strategy (CMA-ES) to identify non-dimensionalized equivalent boundary stiffness using frequency residual optimization.
Developed a Monotone–Bracketing Newton scheme that integrates bracketing, modal assurance criterion (MAC)-based modal-branch locking, and sensitivity-driven updates for cable-tension inversion.
Validated the framework using numerical simulations of 50 cables, laboratory strand tests under three unknown boundary conditions, and field monitoring of an in-construction cable-stayed bridge.
Numerical evaluations across 50 cables using 100 identified sets of equivalent boundary stiffnesses yielded a 95th-percentile cable-tension error of 5.59 × 10⁻⁴.
Laboratory strand experiments under three unknown boundary conditions maintained tension errors mostly within 0.5%, reaching a maximum error of 0.92%.
In-construction bridge testing demonstrated tension errors within 1% for instrumented cables, stage-wise tension differences mostly under 2%, and a maximum main-girder vertical alignment deviation of approximately 5 cm.

Cite This Study

Lv et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd81458e84d0ff5b47378 https://doi.org/10.1177/13694332261486240

View Full Paper

Ask AI

Bookmark