{
  "abstract": "Response-spectrum matching is an underdetermined waveform inverse problem in which spectral compatibility must be achieved without uncontrolled changes in other engineering-relevant ground-motion characteristics. This study formulates the problem as differentiable waveform inverse design using a fixed SDOF dynamics engine and configurable optimization modules. An envelope-guided parameterization defines the correction waveform, while a hard projection enforces zero correction-induced terminal velocity and displacement. Differentiable SDOF responses then provide gradients for waveform optimization. Spectral fidelity and Arias-intensity accumulation are treated as adaptive objectives. Spectral feasibility, PGA, total Arias intensity, and displacement-path requirements are incorporated as constraints. The differentiable spectrum operator agrees with an exact solution of the equation of motion to within 0.002%. The complete five-damping configuration achieves a maximum spectral error of 5.00% over 375 ordinates. On a common benchmark, maximum errors of 2.61% and 8.47% are obtained for single- and multi-damping matching, respectively, while retaining the additional waveform constraints. Three-component applications further show that different engineering acceptance requirements can be accommodated through module reconfiguration without changing the forward dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19482",
  "author_total": 6,
  "authors": [
    {
      "name": "Xiaohu Hu"
    },
    {
      "name": "Su Chen"
    },
    {
      "name": "Zhijun Dai"
    },
    {
      "name": "Lei Fu"
    },
    {
      "name": "Zhongxiang Zhang"
    },
    {
      "name": "Xiaojun Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/01p9s3jzsvbw1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19482",
  "fulltext_url": null,
  "id": "01p9s3jzsvbw1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19482",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.geo-ph"
    ],
    [
      "openalex",
      "2205|Seismic Performance and Analysis"
    ]
  ],
  "openalex": "W7222218966",
  "pdf_url": "https://arxiv.org/pdf/2610.19482",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/01p9s3jzsvbw1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.19482",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19482"
    }
  ],
  "subjects": [
    {
      "field": "earth",
      "origin": "arxiv:physics.geo-ph",
      "subfield": "geophysics"
    }
  ],
  "title": "DiffSpecMatch: Differentiable Waveform Inverse Design with Configurable Optimization Modules for Response-Spectrum Matching of Ground Motions",
  "title_text": "DiffSpecMatch: Differentiable Waveform Inverse Design with Configurable Optimization Modules for Response-Spectrum Matching of Ground Motions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/01p9s3jzsvbw1",
  "venue": "arXiv",
  "versions": []
}