CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '912d666b9c0ef44c',cH: 'szOV9P_cYDDjKTDBdHMJuoEYvnuindGxIcKosDRytts-1739707465-1.2.1.1-c0ZxAiR9cnOpiybxehPN8JUP9Zhny10trNlpXfJk9CURv5Ada278hb..vXkgp59u',cUPMDTk: "\/abstracts\/14416\/prediction-of-pounding-between-two-sdof-systems-by-using-link-element-based-on-mathematic-relations-and-suggestion-of-new-equation-for-impact-damping-ratio?__cf_chl_tk=J4QIbwxqSHf5bP2EQfD6Kxc1mD5MkSG1BVfsPm0jk1g-1739707465-1.0.1.1-aIp.CQC27SNDYd1ramc2ij99h54Pmz0DN7U._i_p544",cFPWv: 'b',cITimeS: '1739707465',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/14416\/prediction-of-pounding-between-two-sdof-systems-by-using-link-element-based-on-mathematic-relations-and-suggestion-of-new-equation-for-impact-damping-ratio?__cf_chl_f_tk=J4QIbwxqSHf5bP2EQfD6Kxc1mD5MkSG1BVfsPm0jk1g-1739707465-1.0.1.1-aIp.CQC27SNDYd1ramc2ij99h54Pmz0DN7U._i_p544",md: "1TGckxmcxqVdM5GCkL9FfI_9aJo186YyGt_.6NJleIc-1739707465-1.2.1.1-29rTOBqzASYUjxnFHOvKDFW8gVmKOqLxOVd1JwXOWjGHzpG0uPqoJaEUtnhGKXirWQYnWtSeMOUvss6DSBugxGlU2xXtXV82ndp22pT7_JjVEh09TRUYrkKq9qkIguaXCXrOoAVyFLe.MeDReaQgnW4VeeOd649YsDxd3Ol6YZikQQT6DxhnoB11erIX7BoJhhwSizdrFxc4gBcpbLmHX8E7u8elNoJGkHs9JnsRoipCm1qf04GlAPbQ6JEcg1lP4Kj_.aX.JsA9KKICuyvhIkEhtFzoAhKRJRguj_omyI2vHZCt1iaevmRDVkmIiTOCggiirBQ8xs9YVlY3hmeqldZJN1VX7iUTgHleu3gRs2VKJ3t8TKWI0tjw2HckNEU27NFEpxhnjWG9hpu2fr0a4YXQcvIbCapZYX8i2E7Qj.jKehMpP8ZJpMmn0kuBHWU0._.9_tWDIhogIzRQgXWCgs0Vlp25GBz1R4OrFtofRv546RPIuIuNwZ0am4DnSZT54z2yMEgjEtf9IMj_iLtE._zvLHGrUn2gP5VZ7X7LLWpPydsi7ZDogvh1iO5q8_XHREFYWmunwGaV2Pgki9D3R1xVRLrp8ZW2i4965F.XWKG.Cx0qLC_S9Z1.XmN6cPUusMwbBHm4Jdzt9lZkPvMr3GwatVIjCrkCNSE68.0S514r8NkRDe.8oofhMiW5zgEV5W5kYWEapgoPy91PWcHPOdzrwr7Zbl.Fc5xGUT.3DBSTJ5fUIcmpCMOT9xKbAo7xQQdMo3ff0U2f2ldaKHKqoDaWKR_v0FaW_HZP6B9lpKzFyaFWB8ktBYbLwo0VU.v.fwPl_SybWHKZG716jZutTyCXT38e1zTmbw0km3c6Hmo4MHVNnJgOJSkDig0rQHiZElED2cHm5dbByEPJcHOvAsEMDAQQdYRFcewl70LQdtlWZmOxKRwR5iKhUOt6RSt0jOEGURMQ3mrkIwrguhLvo_4UrDe2vQlwPBWwFVjUKmcr18IIn3lflcN0ueqeAf5nQLwGa5A_bTJW0GOyfX4eN1lGqYglyzgK7SrUvuQhhHqVquSx5UWo2eIKDZlUFD0pmUru8mcb1wtX2vCHYkwaws.Z_oaV0gPkFEIx9Tp2aAUJX.KWuMLnKLg38ocmweZ0bNCmKXENgbcYQ9EvaZZqThCvtPLkvJwUUHLQ_VgpI0QuiR6vInMusTBnD5Vu_VnfkAr87slHOWzYkT42oXjOdhUnVHmwNg8ciF5CLO78oRNA4J1HQ.n.eFL0TClPI4htkYeGy1D.uy8cmGpmLVI0sw27Imc1eph.p09tOv.Pw6nt3n3wL2rtZLbUM4KdkcZOF_phNqrN9GHkGsh80FkbaqdAx19ZUfP0H4DP58MXf3PRj1cthsCo.h7wUZS_Xw8st31h.GYtdIjmQ7QWJzy4Y4VLjRWJ0_PDvmWvFz0yfmoPJ1AuTA_6qSZTeMiFZBm.AZlXlOtjPD2IrPOAHHj1lY34jphiYJ40gvVK.0dVphv1oLcH01Xm53evHBx0ZxvjtQzDCon.XDN8ErQjbmc0ErN_NAG561ye2lWw6h9IxOZrRudPuLfvXeiJHYTZtnCfSMi0hsu.JcfMZ.wvyv.7xNGuOj6oSU.zINkkyywrhy4NJb5wB9VLv6X2Bzjz0LBJsibS1YMaUhK.T4f8zlEQQilwrzDZ67pZiDp7RGZMwJaiOukiMPTtcne4PBiIE7oRnEoOmM9CHcfCV_8pfhEXZnQc.x9mVZIyD6.5X.m6e38JsBAiZs7X7A0Z_enxkaf7AK1qDGFlj8NK3oYN.1Mu230Dsj6CE0Gjp8LN_MY1ErncCsHS8nuUZcfHtN_IdzrKQWQGgrEM_rCfR.DAZAC0lEZX9JSwD_Q9t4SqQS5zofhSdUrR0mG23jVZbx1iT4_8gQ6xYmd36kOVgxE6gGG_TDXkCh1HuGPSTtw4tQ7boe83iHqneT1xXZXyrPLjyNbsgWfDery0VAmOq0T2gvo.dtECo1jyIjhb9_bAczeuvJnOSKVFUX_D2c6IZFmicTwliqfLnQ09eFkcNyX5N.RSIE0JpCH8u2AVez8Ub8.4Dz5nca2kq1VrTaF_SYLGrLvn5qEKWPFDqPEamdS9nvncCKC5HMNCWX84MpYo8FONduH94etgs1fl3AGKuj290oDp4xWj3b9V0TQ_iHpOITYI7W2czhkcwyUxJ9GLDgzA3V8LN.s5oPfLthgW2jNhcWPjNi2LuRT8b.XdYiTLIVa6SGrvA_rNzW5scYVgy.EPF1DrHDAxfZUP5xRyrOPK.DZPlUQS__ZCnHJTx8x0xRtKyw",mdrd: "uZzHEeVCcOLdy5z4XgT6LzCjuLC.hEsjC2TpVHG9SME-1739707465-1.2.1.1-wYuPAUdCjN41puPezGSwlFD.c.fLp57upZgtUwiE7RSAP9cOvEg01gLjetYs86GnGZtIjIBWW03mUcFSvGwd_v_30sKO29lqvKGphwhmWHZp.KetGCM4TAylqnm6lqoF98_pU6UEoOpLpaHwbuJh1VGLUJZG60jFgiJ1oSz12paesO1gAti9rs4jNEGNHqjKxJNBcoPqIr7vSdpIssx_1AQZFAxMMDemha2ubQNFuEADWoxtwp4MW8DEmrZggYRqZ_7nhw2skk997jYnUKPGaCh0aLgtlYcm_zmOORnU1WNFXe2CBXgwEy0.00xxbu4lI.0fzZ4jHccK1QcgnP27ohuyoAYopFQCKmcTiSpp06.lce6uQDSrD4VMT.kQcI3dPteHDNmy.sHBEbMzW1VvIaOAwaOwAZTwve3nJCEcoeME6e03oBhQ5aF7cx4SDRKvfSxNUT2489ucwODSvELzazPTuocdXYzPgZmCkqvPgljXi_td46Vgdk3sO_2cifd5y2wlajZraKsDcg0Ak3QhsRK3ae5nKTI31tEuvX4swFH.ty5Vm81Gx.1Ck.TBopQ4eobhhtR.KS2x1VYaBYNOVpeVnfbhBR0gcP2pTJD.NDKmuAoXRVq8N9uQRk9Va49HecppV.sPMnOWUcskMF0LmYHcjckVIYSuZ77dpiRrQN0CKYKzd2.LkBeaeEY1LloyRbRKvYRJDOrXTtY7v38Yi2SOfQ_o61cI4aG7_LuKyluihXw3Nzd8J.ABMInsYIlVJfM4pgzFRClLum7M9XMXHDVMhpB3sgPC0b8BhJiKKZf42OaOtjxRIHGg04Qhc1sczlGA3LH9jV34lAo2azxgbF9bntMVpM5MoZ6PbNFSeSqCnQB3CSL5yqnWtmv5oBApwEDiHSDydJ8.DFz.JAfd2UOfby1TD9paBz0JrXn9IYwLSRYYJtwgBtAIj2G6XMhVp.iyZ_c48cRAu53BstEYmqKgXNQfxtP.vUDjBCOAJb.Wb4DUl4MpXjBTFThv98CIY_qtSzK9ytcErh3a52X7PjeSHt66j6kh3tceESMregZS6.gwEWipK5OyOOE3bNnm6q_gt73q8p2ltbFql.j84_tMC9nziqi.V7GZjQ7n3.bjWmdpX9RVZEYh3ikv0e7r3L.7Uo7xYS4OriW4ACvtKQCbHhstqHK52mtQyLiBCzSgdEDhAgEABRRFL0iRRu3ccDXEHDFBUGCxdWVnkpG4pM.02EoxDVWaROrBXLpF3pXG7eSFPE_vdGNkhkJD1UmFIhkMCWpy4gGLQSfbqLs1Dc7Y4B6OSlly0gzSdWPwzAifsOjYbzGUOpLmBUQ.9EXCKT1tB5K4lr18LieuLuRE_vGmmxT0vhqZ0NhkO6OfpUKltKk0yKwoGCTdnMbnxhZUL11V8EUZUAa104qMnJrEIeOIPsaFXyhSqGYUhcVG1DTjFoXcihfnhUPDN4fJqBrhARhhtsRz6wLlCR4Sst7y2L4eap28cu1rXZfs12FNL548dQazsHC7FqsYN.C_ax6XkA3_Wau99J_0sn1fZ6kxd5.vM5g0y38wBFyI3VkhU26LYGhATMW_BB4bq1KOs1KbkvN5UfU8uW.gPDCiHGG.wCugIhzjU5bpFL_Bf7gD7z.nwfRjbagbZnETOA4lMzQCdZzog3_Fa9FOrkrWRJsCUj_lIywu8eHI1WfWn92hpjhBQc7dYN_jeBoz0eAi.dlhYuaKMreBS4jisv_h5RKvIAPs2R4YfHtU6nV0k7hx244lLUteYdYw7Mlpqr0SNssLblHXN0AhvVDw7W_bqiR_EZEB_QRXldGanIob.17o8Z35sxEu1jCDYn9wcgy0x9CDbtcS_afvI_uxmjtSa_djv7Aj98FG.fNnwAe11hGj8FX9y8yQuaZsM2HLCRPlFg71aa_vYBNli.P_ctoIh53SUGhMjkpWK.wf0Tqe0qZEljjl1Fc1XWsuLN9G9o8Omi5U"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=912d666b9c0ef44c';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/14416\/prediction-of-pounding-between-two-sdof-systems-by-using-link-element-based-on-mathematic-relations-and-suggestion-of-new-equation-for-impact-damping-ratio?__cf_chl_rt_tk=J4QIbwxqSHf5bP2EQfD6Kxc1mD5MkSG1BVfsPm0jk1g-1739707465-1.0.1.1-aIp.CQC27SNDYd1ramc2ij99h54Pmz0DN7U._i_p544" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>