Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method

Beam-type structures used in aerospace applications may experience simultaneous broadband dynamic excitation and thermal loads. Design sensitivity, as a powerful tool for structural optimization and reliability analysis, is investigated in this work. The broadband dynamic response and its sensitivit...

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Main Authors: Xudong Zhang, Hao Tang, Hao Yan, Qiang Chen
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Aerospace
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Online Access:https://www.mdpi.com/2226-4310/12/6/475
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author Xudong Zhang
Hao Tang
Hao Yan
Qiang Chen
author_facet Xudong Zhang
Hao Tang
Hao Yan
Qiang Chen
author_sort Xudong Zhang
collection DOAJ
description Beam-type structures used in aerospace applications may experience simultaneous broadband dynamic excitation and thermal loads. Design sensitivity, as a powerful tool for structural optimization and reliability analysis, is investigated in this work. The broadband dynamic response and its sensitivity to input parameters for a Euler–Bernoulli beam in a thermal environment are examined using an efficient wave-based method (WBM). First, the accuracy of the simulation for predicting the broadband dynamic response is validated. Then, the influence of thermal effects on the dynamic response is investigated. Further, the normalized sensitivities of the dynamic response with respect to thermal loads, material properties, and geometric parameters are studied. The simulation results highlight the critical role of thermally generated compressive forces in governing structural dynamics. The normalized sensitivities with respect to different input parameters can vary across the broadband frequency band. In the low-frequency ranges, the sensitivities with respect to thermal load, thermal expansion coefficient, the cross-section area, and moment of inertia are dominant. In the high-frequency ranges, the cross-section area, moment of inertia, elastic modulus, and density have major influence on the dynamic response. All the parameters investigated could significantly affect the mid-frequency dynamic response.
format Article
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institution Kabale University
issn 2226-4310
language English
publishDate 2025-05-01
publisher MDPI AG
record_format Article
series Aerospace
spelling doaj-art-9d3c1bc404804956adb7882ee0ab00012025-08-20T03:30:28ZengMDPI AGAerospace2226-43102025-05-0112647510.3390/aerospace12060475Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based MethodXudong Zhang0Hao Tang1Hao Yan2Qiang Chen3School of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaSchool of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaNational Key Laboratory of Strength and Structural Integrity, Aircraft Strength Research Institute of China, Xi’an 710065, ChinaSchool of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaBeam-type structures used in aerospace applications may experience simultaneous broadband dynamic excitation and thermal loads. Design sensitivity, as a powerful tool for structural optimization and reliability analysis, is investigated in this work. The broadband dynamic response and its sensitivity to input parameters for a Euler–Bernoulli beam in a thermal environment are examined using an efficient wave-based method (WBM). First, the accuracy of the simulation for predicting the broadband dynamic response is validated. Then, the influence of thermal effects on the dynamic response is investigated. Further, the normalized sensitivities of the dynamic response with respect to thermal loads, material properties, and geometric parameters are studied. The simulation results highlight the critical role of thermally generated compressive forces in governing structural dynamics. The normalized sensitivities with respect to different input parameters can vary across the broadband frequency band. In the low-frequency ranges, the sensitivities with respect to thermal load, thermal expansion coefficient, the cross-section area, and moment of inertia are dominant. In the high-frequency ranges, the cross-section area, moment of inertia, elastic modulus, and density have major influence on the dynamic response. All the parameters investigated could significantly affect the mid-frequency dynamic response.https://www.mdpi.com/2226-4310/12/6/475design sensitivity analysisbroadband dynamic responsewave-based method (WBM)thermal effect
spellingShingle Xudong Zhang
Hao Tang
Hao Yan
Qiang Chen
Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method
Aerospace
design sensitivity analysis
broadband dynamic response
wave-based method (WBM)
thermal effect
title Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method
title_full Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method
title_fullStr Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method
title_full_unstemmed Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method
title_short Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method
title_sort broadband dynamic sensitivity analysis of a euler bernoulli beam under thermal load using the efficient wave based method
topic design sensitivity analysis
broadband dynamic response
wave-based method (WBM)
thermal effect
url https://www.mdpi.com/2226-4310/12/6/475
work_keys_str_mv AT xudongzhang broadbanddynamicsensitivityanalysisofaeulerbernoullibeamunderthermalloadusingtheefficientwavebasedmethod
AT haotang broadbanddynamicsensitivityanalysisofaeulerbernoullibeamunderthermalloadusingtheefficientwavebasedmethod
AT haoyan broadbanddynamicsensitivityanalysisofaeulerbernoullibeamunderthermalloadusingtheefficientwavebasedmethod
AT qiangchen broadbanddynamicsensitivityanalysisofaeulerbernoullibeamunderthermalloadusingtheefficientwavebasedmethod