Theoretical analysis and parametric design of rocking coupled wall with inerter system

Theoretical analysis and parametric design of rocking coupled wall with inerter system | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Theoretical analysis and parametric design of rocking coupled wall with inerter system Chao Pan, Yuke Shi, Ruifu Zhang, Dengke Yang, Ruixin Chen This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8352686/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract A coupled wall can be transformed into a structural control device by the introduction of damped coupling and rocking mechanisms. To further enhance the structural control efficiency, inerter systems are proposed as the damped coupling devices in the rocking coupled wall. The theoretical model which can represent the key mechanism of the multi-pier rocking coupled wall with inerter systems is presented. The expression for the mechanical energy of each component is derived and then the corresponding equations of motion for the rocking coupled wall with inerter systems are established according to Lagrange’s equation. Closed-form expressions of stochastic seismic responses of the rocking coupled wall with inerter systems are derived subsequently. The demand-oriented design philosophy and the damping enhancement maximization principle of the inerter system are adopted as guidance to design the key parameters of the rocking coupled wall with inerter systems. A series of concise closed-form design formulae are derived to achieve the desired damping ratio and maximize the damping enhancement of inerter systems. Finally, the proposed mechanical model and formulae are validated by the design and analysis of a ten-story rocking coupled wall under seismic excitations. It is shown that the results of dynamic time-history analyses are in good agreement with the results of the theoretical formulae. inerter system rocking wall damping enhancement closed-form solution demand-oriented Full Text Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-8352686","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":563926929,"identity":"0b54b002-82c2-4ec5-8138-8eb7fbe8ae10","order_by":0,"name":"Chao Pan","email":"","orcid":"","institution":"Yantai University","correspondingAuthor":false,"prefix":"","firstName":"Chao","middleName":"","lastName":"Pan","suffix":""},{"id":563926930,"identity":"55ac6aa1-5f46-4f42-bee7-532ef365c42b","order_by":1,"name":"Yuke Shi","email":"","orcid":"","institution":"Yantai 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To further enhance the structural control efficiency, inerter systems are proposed as the damped coupling devices in the rocking coupled wall. The theoretical model which can represent the key mechanism of the multi-pier rocking coupled wall with inerter systems is presented. The expression for the mechanical energy of each component is derived and then the corresponding equations of motion for the rocking coupled wall with inerter systems are established according to Lagrange\u0026rsquo;s equation. Closed-form expressions of stochastic seismic responses of the rocking coupled wall with inerter systems are derived subsequently. The demand-oriented design philosophy and the damping enhancement maximization principle of the inerter system are adopted as guidance to design the key parameters of the rocking coupled wall with inerter systems. A series of concise closed-form design formulae are derived to achieve the desired damping ratio and maximize the damping enhancement of inerter systems. Finally, the proposed mechanical model and formulae are validated by the design and analysis of a ten-story rocking coupled wall under seismic excitations. 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