Propagation_characteristics_of_an_elastic_bar_coup

  • 任涂飞
    了解作者
  • PDF
    开发工具
  • 2MB
    文件大小
  • rar
    文件格式
  • 0
    收藏次数
  • 7 积分
    下载积分
  • 0
    下载次数
  • 2022-12-02 10:38
    上传日期
Propagation_characteristics_of_an_elastic_bar_coup
Propagation_characteristics_of_an_elastic_bar_coup.rar
  • Propagation_characteristics_of_an_elastic_bar_coup.pdf
    2.3MB
内容介绍
<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/638a1c5a9f0e6d0d655fab5c/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/638a1c5a9f0e6d0d655fab5c/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Nonlinear<span class="_ _0"> </span>Dyn</div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls1 ws0">https://doi.org/10.1007/s11071-022-08028-8</div><div class="t m0 x2 h3 y3 ff1 fs1 fc1 sc0 ls2 ws0">ORIGIN<span class="_ _1"></span>AL<span class="_ _2"> </span>P<span class="_ _3"></span>APER</div><div class="t m0 x1 h4 y4 ff2 fs2 fc0 sc0 ls3 ws0">Pr<span class="_ _1"></span>opagation<span class="_ _4"> </span>characteristics<span class="_ _4"> </span>of<span class="_ _4"> </span>an<span class="_ _4"> </span>elastic<span class="_ _4"> </span>bar<span class="_ _4"> </span>coupled<span class="_ _4"> </span>with<span class="_ _4"> </span>a</div><div class="t m0 x1 h4 y5 ff2 fs2 fc0 sc0 ls3 ws0">discr<span class="_ _1"></span>ete<span class="_ _4"> </span>snap-thr<span class="_ _1"></span>ough<span class="_ _4"> </span>element</div><div class="t m0 x1 h5 y6 ff2 fs3 fc0 sc0 ls4 ws0">Aneesh<span class="_ _5"> </span>Bhattacharyya<span class="_ _4"> </span><span class="ff3 ls3">&#183;<span class="_ _6"> </span></span>Sondipon<span class="_ _5"> </span>Adhikari</div><div class="t m0 x1 h2 y7 ff1 fs0 fc0 sc0 ls5 ws0">Receiv<span class="_ _1"></span>ed:<span class="_ _0"> </span>18<span class="_ _0"> </span>April<span class="_ _0"> </span>2022<span class="_ _0"> </span>/<span class="_ _0"> </span>Accepted:<span class="_ _0"> </span>14<span class="_ _0"> </span>October<span class="_ _0"> </span>2022</div><div class="t m0 x1 h2 y8 ff1 fs0 fc0 sc0 ls6 ws0">&#169;<span class="_ _0"> </span>The<span class="_ _0"> </span>Author(s)<span class="_ _0"> </span>2022</div><div class="t m0 x1 h6 y9 ff2 fs3 fc0 sc0 ls7 ws0">Abstract<span class="_ _7"> </span><span class="ff1 ls8">W<span class="_ _3"></span>av<span class="_ _1"></span>e<span class="_ _8"> </span>propagation<span class="_ _8"> </span>characteristics<span class="_ _8"> </span>of<span class="_ _8"> </span>an</span></div><div class="t m0 x1 h6 ya ff1 fs3 fc0 sc0 ls7 ws0">elastic<span class="_ _5"> </span>bar<span class="_ _9"> </span>coupled<span class="_ _5"> </span>at<span class="_ _9"> </span>one<span class="_ _5"> </span>end<span class="_ _9"> </span>with<span class="_ _5"> </span>a<span class="_ _9"> </span>single<span class="_ _5"> </span>degree<span class="_ _5"> </span>of</div><div class="t m0 x1 h6 yb ff1 fs3 fc0 sc0 ls8 ws0">freedom,<span class="_ _5"> </span>bi-stable,<span class="_ _5"> </span>essentially<span class="_ _a"> </span>nonlinear<span class="_ _a"> </span>snap-through</div><div class="t m0 x1 h6 yc ff1 fs3 fc0 sc0 ls7 ws0">element<span class="_ _6"> </span>are<span class="_ _2"> </span>considered.<span class="_ _6"> </span>The<span class="_ _6"> </span>free<span class="_ _b"> </span>end<span class="_ _6"> </span>of<span class="_ _b"> </span>the<span class="_ _6"> </span>bar<span class="_ _b"> </span>is</div><div class="t m0 x1 h6 yd ff1 fs3 fc0 sc0 ls7 ws0">subjected<span class="_ _9"> </span>to<span class="_ _9"> </span>sinusoidal<span class="_ _9"> </span>excitations.<span class="_ _9"> </span>A<span class="_ _9"> </span>novel<span class="_ _5"> </span>approach</div><div class="t m0 x1 h6 ye ff1 fs3 fc0 sc0 ls7 ws0">based<span class="_ _c"> </span>on<span class="_ _c"> </span>multiple<span class="_ _c"> </span>time<span class="_ _c"> </span>scales<span class="_ _c"> </span>and<span class="_ _c"> </span>harmonic<span class="_ _c"> </span>balance</div><div class="t m0 x1 h6 yf ff1 fs3 fc0 sc0 ls8 ws0">method<span class="_ _d"> </span>has<span class="_ _d"> </span>been<span class="_ _d"> </span>proposed<span class="_ _d"> </span>to<span class="_ _d"> </span>analytically<span class="_ _d"> </span>in<span class="_ _1"></span>v<span class="_ _1"></span>estigate</div><div class="t m0 x1 h6 y10 ff1 fs3 fc0 sc0 ls7 ws0">the<span class="_ _0"> </span>re&#64258;ected<span class="_ _a"> </span>wa<span class="_ _1"></span>ve<span class="_ _0"> </span>from<span class="_ _0"> </span>the<span class="_ _0"> </span>nonlinear<span class="_ _a"> </span>interface<span class="_ _0"> </span>and<span class="_ _0"> </span>the</div><div class="t m0 x1 h6 y11 ff1 fs3 fc0 sc0 ls7 ws0">dynamic<span class="_ _0"> </span>response<span class="_ _a"> </span>of<span class="_ _0"> </span>the<span class="_ _a"> </span>snap-through<span class="_ _0"> </span>element.<span class="_ _a"> </span>A<span class="_ _0"> </span>uni-</div><div class="t m0 x1 h6 y12 ff1 fs3 fc0 sc0 ls7 ws0">&#64257;ed<span class="_ _0"> </span>approach<span class="_ _0"> </span>to<span class="_ _0"> </span>the<span class="_ _0"> </span>non-dimensional<span class="_ _0"> </span>representation<span class="_ _e"> </span>of</div><div class="t m0 x1 h6 y13 ff1 fs3 fc0 sc0 ls7 ws0">the<span class="_ _c"> </span>governing<span class="_ _c"> </span>equations<span class="_ _c"> </span>of<span class="_ _4"> </span>motion,<span class="_ _c"> </span>boundary<span class="_ _4"> </span>condi-</div><div class="t m0 x1 h6 y14 ff1 fs3 fc0 sc0 ls8 ws0">tions<span class="_ _e"> </span>and<span class="_ _e"> </span>system<span class="_ _f"> </span>parameters,<span class="_ _f"> </span>which<span class="_ _e"> </span>is<span class="_ _e"> </span>consistent<span class="_ _f"> </span>across</div><div class="t m0 x1 h6 y15 ff1 fs3 fc0 sc0 ls7 ws0">all<span class="_ _4"> </span>the<span class="_ _6"> </span>externally<span class="_ _4"> </span>applied<span class="_ _4"> </span>excitation<span class="_ _4"> </span>frequencies<span class="_ _4"> </span>and</div><div class="t m0 x1 h6 y16 ff1 fs3 fc0 sc0 ls7 ws0">excitation<span class="_ _4"> </span>amplitudes,<span class="_ _4"> </span>has<span class="_ _6"> </span>been<span class="_ _4"> </span>dev<span class="_ _1"></span>eloped.<span class="_ _4"> </span>Through</div><div class="t m0 x1 h6 y17 ff1 fs3 fc0 sc0 ls7 ws0">T<span class="_ _3"></span>aylor<span class="_ _d"> </span>series<span class="_ _d"> </span>expansion<span class="_ _9"> </span>of<span class="_ _d"> </span>the<span class="_ _d"> </span>non-autonomous<span class="_ _d"> </span>forc-</div><div class="t m0 x1 h6 y18 ff1 fs3 fc0 sc0 ls8 ws0">ing<span class="_ _f"> </span>functions<span class="_ _e"> </span>arising<span class="_ _e"> </span>in<span class="_ _e"> </span>the<span class="_ _e"> </span>gov<span class="_ _1"></span>erning<span class="_ _e"> </span>dif<span class="_ _1"></span>ferential<span class="_ _e"> </span>equa-</div><div class="t m0 x1 h6 y19 ff1 fs3 fc0 sc0 ls7 ws0">tions<span class="_ _d"> </span>and<span class="_ _d"> </span>natural<span class="_ _d"> </span>boundary<span class="_ _c"> </span>condition<span class="_ _d"> </span>about<span class="_ _d"> </span>an<span class="_ _d"> </span>initial</div><div class="t m0 x1 h6 y1a ff1 fs3 fc0 sc0 ls7 ws0">stable<span class="_ _4"> </span>con&#64257;guration<span class="_ _4"> </span>of<span class="_ _4"> </span>the<span class="_ _4"> </span>system<span class="_ _c"> </span>and<span class="_ _4"> </span>the<span class="_ _4"> </span>proposed</div><div class="t m0 x1 h6 y1b ff1 fs3 fc0 sc0 ls8 ws0">asymptotic<span class="_ _5"> </span>method,<span class="_ _5"> </span>approximate<span class="_ _a"> </span>closed-form<span class="_ _5"> </span>analyti-</div><div class="t m0 x1 h6 y1c ff1 fs3 fc0 sc0 ls7 ws0">cal<span class="_ _d"> </span>solutions<span class="_ _d"> </span>ha<span class="_ _1"></span>ve<span class="_ _9"> </span>been<span class="_ _d"> </span>derived<span class="_ _9"> </span>for<span class="_ _d"> </span>suf&#64257;ciently<span class="_ _9"> </span>small</div><div class="t m0 x1 h2 y1d ff2 fs0 fc0 sc0 ls0 ws0">Supplementary<span class="_ _0"> </span>Information<span class="_ _10"> </span><span class="ff1">The<span class="_ _0"> </span>online<span class="_ _0"> </span>version<span class="_ _e"> </span>contains</span></div><div class="t m0 x1 h2 y1e ff1 fs0 fc0 sc0 ls9 ws0">supplementary<span class="_ _0"> </span>material<span class="_ _0"> </span>av<span class="_ _1"></span>ailable<span class="_ _e"> </span>at<span class="_ _0"> </span><span class="fc2 ls5">https://<span class="_ _11"></span>doi.org/10.1007/</span></div><div class="t m0 x1 h2 y1f ff1 fs0 fc2 sc0 lsa ws0">s11071-<span class="_ _11"></span>022-<span class="_ _11"></span>08028-<span class="_ _11"></span>8<span class="fc0 ls3">.</span></div><div class="t m0 x1 h2 y20 ff1 fs0 fc0 sc0 ls0 ws0">A.<span class="_ _0"> </span>Bhattacharyya</div><div class="t m0 x1 h2 y21 ff1 fs0 fc0 sc0 ls5 ws0">V<span class="_ _1"></span>iterbi<span class="_ _e"> </span>School<span class="_ _0"> </span>of<span class="_ _0"> </span>Engineering,<span class="_ _0"> </span>University<span class="_ _e"> </span>of<span class="_ _0"> </span>Southern</div><div class="t m0 x1 h2 y22 ff1 fs0 fc0 sc0 ls3 ws0">California<span class="_ _0"> </span>(USC),<span class="_ _0"> </span>Los<span class="_ _0"> </span>Angeles,<span class="_ _0"> </span>California,<span class="_ _0"> </span>USA</div><div class="t m0 x1 h2 y23 ff1 fs0 fc0 sc0 ls0 ws0">e-mail:<span class="_ _0"> </span>aneeshbh@usc.edu</div><div class="t m0 x1 h2 y24 ff1 fs0 fc0 sc0 ls5 ws0">S.<span class="_ _0"> </span>Adhikari<span class="_ _9"> </span>(</div><div class="t m0 x3 h7 y25 ff4 fs4 fc0 sc0 ls3 ws0">B</div><div class="t m0 x4 h2 y26 ff1 fs0 fc0 sc0 ls3 ws0">)</div><div class="t m0 x1 h2 y27 ff1 fs0 fc0 sc0 ls0 ws0">James<span class="_ _0"> </span>W<span class="_ _3"></span>att<span class="_ _0"> </span>School<span class="_ _0"> </span>of<span class="_ _0"> </span>Engineering,<span class="_ _0"> </span>University<span class="_ _e"> </span>of<span class="_ _0"> </span>Glasgow</div><div class="t m0 x1 h2 y28 ff1 fs0 fc0 sc0 ls1 ws0">(UoG),<span class="_ _0"> </span>Glasgow,<span class="_ _e"> </span>UK</div><div class="t m0 x1 h2 y29 ff1 fs0 fc0 sc0 ls0 ws0">e-mail:<span class="_ _0"> </span>sondipon.adhikari@glasgow<span class="_ _3"></span>.ac.uk</div><div class="t m0 x5 h6 y9 ff1 fs3 fc0 sc0 ls8 ws0">amplitudes<span class="_ _d"> </span>of<span class="_ _d"> </span>the<span class="_ _d"> </span>excitation<span class="_ _d"> </span>pulse.<span class="_ _d"> </span>Numerical<span class="_ _d"> </span>results</div><div class="t m0 x5 h6 ya ff1 fs3 fc0 sc0 ls7 ws0">obtained<span class="_ _a"> </span>through<span class="_ _a"> </span>a<span class="_ _a"> </span>&#64257;nite<span class="_ _5"> </span>dif<span class="_ _1"></span>ference<span class="_ _a"> </span>algorithm<span class="_ _a"> </span>validate</div><div class="t m0 x5 h6 yb ff1 fs3 fc0 sc0 ls8 ws0">the<span class="_ _d"> </span>asymptotic<span class="_ _c"> </span>model<span class="_ _c"> </span>for<span class="_ _d"> </span>the<span class="_ _c"> </span>same<span class="_ _c"> </span>small<span class="_ _c"> </span>amplitudes</div><div class="t m0 x5 h6 yc ff1 fs3 fc0 sc0 ls8 ws0">of<span class="_ _d"> </span>the<span class="_ _c"> </span>excitation<span class="_ _d"> </span>pulse.<span class="_ _c"> </span>A<span class="_ _c"> </span>stability<span class="_ _c"> </span>analysis<span class="_ _c"> </span>has<span class="_ _d"> </span>been</div><div class="t m0 x5 h6 yd ff1 fs3 fc0 sc0 ls8 ws0">subsequently<span class="_ _5"> </span>performed<span class="_ _9"> </span>for<span class="_ _5"> </span>the<span class="_ _9"> </span>discrete<span class="_ _5"> </span>snap-through</div><div class="t m0 x5 h6 ye ff1 fs3 fc0 sc0 ls7 ws0">element<span class="_ _a"> </span>by<span class="_ _5"> </span>using<span class="_ _5"> </span>the<span class="_ _a"> </span>extended<span class="_ _5"> </span>Floquet<span class="_ _a"> </span>theory<span class="_ _5"> </span>for<span class="_ _5"> </span>suf-</div><div class="t m0 x5 h6 yf ff1 fs3 fc0 sc0 ls8 ws0">&#64257;ciently<span class="_ _4"> </span>large<span class="_ _4"> </span>amplitudes<span class="_ _4"> </span>of<span class="_ _4"> </span>the<span class="_ _6"> </span>excitation<span class="_ _4"> </span>pulse<span class="_ _4"> </span>by</div><div class="t m0 x5 h6 y10 ff1 fs3 fc0 sc0 ls7 ws0">approximating<span class="_ _a"> </span>the<span class="_ _0"> </span>displacement<span class="_ _a"> </span>at<span class="_ _a"> </span>the<span class="_ _a"> </span>nonlinear<span class="_ _0"> </span>inter-</div><div class="t m0 x5 h6 y11 ff1 fs3 fc0 sc0 ls7 ws0">face<span class="_ _d"> </span>as<span class="_ _c"> </span>a<span class="_ _4"> </span>sinusoidal<span class="_ _c"> </span>function<span class="_ _c"> </span>of<span class="_ _c"> </span>time,<span class="_ _c"> </span>and<span class="_ _c"> </span>the<span class="_ _c"> </span>Math-</div><div class="t m0 x5 h6 y12 ff1 fs3 fc0 sc0 ls7 ws0">ieu<span class="_ _d"> </span>plot<span class="_ _c"> </span>of<span class="_ _d"> </span>the<span class="_ _c"> </span>excitation<span class="_ _d"> </span>frequency<span class="_ _d"> </span>vs<span class="_ _c"> </span>the<span class="_ _d"> </span>excitation</div><div class="t m0 x5 h6 y13 ff1 fs3 fc0 sc0 ls7 ws0">amplitude<span class="_ _a"> </span>showing<span class="_ _a"> </span>the<span class="_ _5"> </span>stable<span class="_ _a"> </span>and<span class="_ _5"> </span>unstable<span class="_ _a"> </span>regions<span class="_ _a"> </span>for</div><div class="t m0 x5 h6 y14 ff1 fs3 fc0 sc0 ls4 ws0">the<span class="_ _a"> </span>motion<span class="_ _5"> </span>of<span class="_ _a"> </span>the<span class="_ _a"> </span>snap-through<span class="_ _5"> </span>element<span class="_ _a"> </span>has<span class="_ _5"> </span>been<span class="_ _a"> </span>gen-</div><div class="t m0 x5 h6 y15 ff1 fs3 fc0 sc0 ls7 ws0">erated.<span class="_ _6"> </span>The<span class="_ _b"> </span>expressions<span class="_ _6"> </span>deriv<span class="_ _1"></span>ed<span class="_ _b"> </span>here<span class="_ _6"> </span>giv<span class="_ _1"></span>e<span class="_ _6"> </span>the<span class="_ _b"> </span>most</div><div class="t m0 x5 h6 y16 ff1 fs3 fc0 sc0 ls7 ws0">comprehensiv<span class="_ _1"></span>e<span class="_ _a"> </span>and<span class="_ _5"> </span>consistent<span class="_ _5"> </span>description<span class="_ _a"> </span>of<span class="_ _5"> </span>the<span class="_ _a"> </span>wave</div><div class="t m0 x5 h6 y17 ff1 fs3 fc0 sc0 ls7 ws0">propagation<span class="_ _e"> </span>characteristics<span class="_ _0"> </span>and<span class="_ _0"> </span>the<span class="_ _e"> </span>motion<span class="_ _0"> </span>of<span class="_ _e"> </span>the<span class="_ _0"> </span>snap-</div><div class="t m0 x5 h6 y18 ff1 fs3 fc0 sc0 ls7 ws0">through<span class="_ _9"> </span>element,<span class="_ _d"> </span>which<span class="_ _d"> </span>can<span class="_ _9"> </span>be<span class="_ _d"> </span>directly<span class="_ _9"> </span>used<span class="_ _d"> </span>in<span class="_ _d"> </span>&#64257;nite</div><div class="t m0 x5 h6 y19 ff1 fs3 fc0 sc0 ls7 ws0">difference<span class="_ _e"> </span>analysis<span class="_ _0"> </span>ov<span class="_ _1"></span>er<span class="_ _e"> </span>a<span class="_ _0"> </span>wide<span class="_ _0"> </span>range<span class="_ _0"> </span>of<span class="_ _0"> </span>parameter<span class="_ _0"> </span>v<span class="_ _1"></span>al-</div><div class="t m0 x5 h6 y1a ff1 fs3 fc0 sc0 ls7 ws0">ues<span class="_ _a"> </span>of<span class="_ _a"> </span>the<span class="_ _a"> </span>excitation<span class="_ _a"> </span>pulse.</div><div class="t m0 x5 h6 y2a ff2 fs3 fc0 sc0 lsb ws0">K<span class="_ _1"></span>eywords<span class="_ _b"> </span><span class="ff1 ls8">Essentially<span class="_ _5"> </span>nonlinear<span class="_ _5"> </span>systems<span class="_ _5"> </span><span class="ff5 ls3">&#183;<span class="_ _5"> </span><span class="ff1">Bi-stable</span></span></span></div><div class="t m0 x5 h6 y2b ff1 fs3 fc0 sc0 ls7 ws0">snap-through<span class="_ _a"> </span>element<span class="_ _a"> </span><span class="ff5 ls3">&#183;<span class="_ _a"> </span></span><span class="ls8">Multiple<span class="_ _5"> </span>time<span class="_ _a"> </span>scales<span class="_ _a"> </span>analysis<span class="_ _a"> </span><span class="ff5 ls3">&#183;</span></span></div><div class="t m0 x5 h6 y2c ff1 fs3 fc0 sc0 ls7 ws0">Harmonic<span class="_ _0"> </span>balance<span class="_ _a"> </span>method<span class="_ _a"> </span><span class="ff5 ls3">&#183;<span class="_ _0"> </span></span><span class="ls4">Extended<span class="_ _a"> </span>Floquet<span class="_ _a"> </span>theory<span class="_ _0"> </span><span class="ff5 ls3">&#183;</span></span></div><div class="t m0 x5 h6 y2d ff1 fs3 fc0 sc0 ls7 ws0">Finite<span class="_ _a"> </span>difference<span class="_ _0"> </span>method</div><div class="t m0 x5 h5 y2e ff2 fs3 fc0 sc0 ls7 ws0">1<span class="_ _d"> </span>Introduction</div><div class="t m0 x5 h6 y2f ff1 fs3 fc0 sc0 ls8 ws0">W<span class="_ _3"></span>av<span class="_ _1"></span>e<span class="_ _4"> </span>propagation<span class="_ _4"> </span>in<span class="_ _4"> </span>an<span class="_ _4"> </span>elastic<span class="_ _4"> </span>continuum<span class="_ _6"> </span>is<span class="_ _4"> </span>a<span class="_ _4"> </span>sub-</div><div class="t m0 x5 h6 y30 ff1 fs3 fc0 sc0 ls7 ws0">ject<span class="_ _d"> </span>of<span class="_ _d"> </span>interest<span class="_ _d"> </span>in<span class="_ _d"> </span>many<span class="_ _d"> </span>&#64257;elds<span class="_ _d"> </span>of<span class="_ _d"> </span>engineering<span class="_ _c"> </span>[<span class="fc2 ls3">1</span><span class="lsb">]<span class="_ _d"> </span>and</span></div><div class="t m0 x5 h6 y31 ff1 fs3 fc0 sc0 ls7 ws0">has<span class="_ _5"> </span>been<span class="_ _5"> </span>explored<span class="_ _5"> </span>for<span class="_ _5"> </span>several<span class="_ _a"> </span>decades<span class="_ _9"> </span>from<span class="_ _5"> </span>a<span class="_ _5"> </span>theoret-</div><div class="t m0 x5 h6 y32 ff1 fs3 fc0 sc0 ls7 ws0">ical,<span class="_ _c"> </span>computational<span class="_ _4"> </span>and<span class="_ _4"> </span>experimental<span class="_ _c"> </span>perspective.<span class="_ _c"> </span>In</div><div class="t m0 x6 h8 y33 ff6 fs5 fc0 sc0 ls3 ws0">123</div><div class="t m0 x7 h9 y34 ff7 fs6 fc3 sc0 ls3 ws0">Content courtesy of Springer Nature, terms of use apply. Rights reserved.</div></div><div class="pi" data-data='{"ctm":[1.754739,0.000000,0.000000,1.754739,0.000000,0.000000]}'></div></div> </body> </html>
评论
    相关推荐