Modal Interactions and Jointed Structures

dc.contributor.advisorBrake, Matthew RWen_US
dc.creatorPorter, Justin H.en_US
dc.date.accessioned2024-08-30T15:54:56Zen_US
dc.date.created2024-08en_US
dc.date.issued2024-08-01en_US
dc.date.submittedAugust 2024en_US
dc.date.updated2024-08-30T15:54:56Zen_US
dc.descriptionEMBARGO NOTE: This item is embargoed until 2025-08-01en_US
dc.description.abstractUnderstanding the nonlinear vibration behavior of structures is critical to ensuring reliability and improving efficiency. Jointed connections, integral to assembled structures, introduce contact and friction resulting in nonlinear vibration behavior. Specifically, properties of linear modal analysis including constant modal frequencies and damping and the decoupling of modes break down in the case of nonlinear vibration. Of interest here, modal interactions occur when multiple nonlinear modes respond simultaneously modifying the total response characteristics, potentially increasing vibration amplitudes and causing structural failures. An understanding of modal interactions is predicated on capturing the nonlinear effects of friction in joints, so this thesis investigates physics-based friction modeling to numerically simulate responses of benchmark jointed structures. To address computational costs, a new method is developed to analyze modal interactions utilizing the developed friction model. In the case of a single mode, frictional contact results in a decrease in modal frequency and an increase in modal damping as the vibration amplitude increases. This behavior is well captured by the proposed friction modeling approach. Beyond the single mode case, the state of the art for modeling modal interactions is thoroughly reviewed, and open challenges are discussed. To better understand modal interactions, a numerical method termed variable phase resonance nonlinear modes (VPRNM) is proposed for tracking superharmonic resonances, a specific type of modal interaction. Superharmonic resonances occur at steady-state when a mode responds in resonance at an integer multiple of the forcing frequency (e.g., with amplitude on the order of the response at the forcing frequency). When a superharmonic resonance occurs simultaneously with a primary resonance, the response is further complicated and termed an internal resonance. Utilizing VPRNM, a reduced order modeling approach (VPRNM ROM) is proposed to reconstruct frequency response curves with significantly reduced computational cost compared to existing approaches. This thesis compares the proposed modeling approaches to new experimental results for the Half Brake-Reuss Beam, a benchmark jointed structure. Overall, this thesis provides significant insights into the phenomena of modal interactions for jointed connections and approaches for computationally efficiently modeling such interactions.en_US
dc.embargo.lift2025-08-01en_US
dc.embargo.terms2025-08-01en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationPorter, Justin H.. Modal Interactions and Jointed Structures. (2024). PhD diss., Rice University. https://hdl.handle.net/1911/117769en_US
dc.identifier.urihttps://hdl.handle.net/1911/117769en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectJointed Structureen_US
dc.subjectNonlinear Vibrationen_US
dc.subjectFrictionen_US
dc.subjectHysteresisen_US
dc.subjectSuperharmonic Resonanceen_US
dc.subjectRough Contacten_US
dc.titleModal Interactions and Jointed Structuresen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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