[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/12516#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/12516","headline":"\u5f3e\u6027\u57fa\u677f\u4e0a\u306e\u30d9\u30eb\u30ab-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","name":"\u5f3e\u6027\u57fa\u677f\u4e0a\u306e\u30d9\u30eb\u30ab-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 \u5f3e\u6027\u57fa\u677f\u4e0a\u306e\u30d3\u30fc\u30e0 \u3053\u308c\u306f\u3001\u9244\u9053\u3084\u8def\u9762\u96fb\u8eca\u3001\u57fa\u790e\u30d9\u30f3\u30c1\u306a\u3069\u306e\u69cb\u9020\u8981\u7d20\u306e\u8a08\u7b97\u30e2\u30c7\u30eb\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 after-content-x4 \u4e00\u5b9a\u306e\u67d4\u8edf\u306a\u525b\u6027\u3092\u6301\u3064\u3053\u306e\u3088\u3046\u306a\u6881 \uff08 \u3068 j y\u559c\u3093\u3067 c o n s t \uff09\uff09 {displaystyle\uff08ej_ {y} equiv mathrm {const}\uff09}","datePublished":"2021-05-27","dateModified":"2021-05-27","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/948c1c36f562ee1b4ddad71a5ef49615639e44b4","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/948c1c36f562ee1b4ddad71a5ef49615639e44b4","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/12516","wordCount":5554,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u5f3e\u6027\u57fa\u677f\u4e0a\u306e\u30d3\u30fc\u30e0 \u3053\u308c\u306f\u3001\u9244\u9053\u3084\u8def\u9762\u96fb\u8eca\u3001\u57fa\u790e\u30d9\u30f3\u30c1\u306a\u3069\u306e\u69cb\u9020\u8981\u7d20\u306e\u8a08\u7b97\u30e2\u30c7\u30eb\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u4e00\u5b9a\u306e\u67d4\u8edf\u306a\u525b\u6027\u3092\u6301\u3064\u3053\u306e\u3088\u3046\u306a\u6881 \uff08 \u3068 j y\u559c\u3093\u3067 c o n s t \uff09\uff09 {displaystyle\uff08ej_ {y} equiv mathrm {const}\uff09} \u305f\u308f\u307f\u7dda\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u57fa\u3065\u3044\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059 \u306e \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle w\uff08x\uff09} \u30ad\u30e3\u30e9\u30af\u30bf\u30fc\u306b\u3064\u3044\u3066 [\u521d\u3081] [2]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3068 Jyd4w(x)dx4= Q \uff08 \u30d0\u30c4 \uff09\uff09  –  k \uff08 \u30d0\u30c4 \uff09\uff09 \u306e \uff08 \u30d0\u30c4 \uff09\uff09 \u3001 {displaystyle ej_ {y} {frac {d^{4} w\uff08x\uff09} {dx^{4}}} = q\uff08x\uff09-k\uff08x\uff09w\uff08x\uff09\u3001qquad {}}}}}}} \uff08a\uff09 \u3069\u3053\u3067 k \uff08 \u30d0\u30c4 \uff09\uff09 [kGm2]{displaystyle k\uff08x\uff09\u3001mathrm {left [{tfrac {kg} {m^{2}}}\u53f3]}}} \u57fa\u8cea\u306e\u4e00\u5b9a\u306e\u5f3e\u529b\u6027\u304c\u30de\u30fc\u30af\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u57fa\u677f\u30e2\u30c7\u30eb\u306f\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 Winlerowski\u5730\u9762 \u305d\u306e\u3088\u3046\u306a\u30e2\u30c7\u30eb\u304c\u63d0\u6848\u3057\u305fWinkler\u3068\u3044\u3046\u540d\u524d\u304b\u3089 [3] \u3002 \u5f0f\uff08a\uff09\u306e\u4e00\u822c\u7684\u306a\u89e3\u304c\u95a2\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u5b9f\u8a3c\u3067\u304d\u307e\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4w(x)=e\u03b1x(Asin\u2061\u03b1x+Bcos\u2061\u03b1x)+e\u2212\u03b1x(Csin\u2061\u03b1x+Dcos\u2061\u03b1x),{displaystyle {begin {aligned} w\uff08x\uff09\uff06= e^{alpha x}\uff08asin {alpha x}+bcos {alpha x}\uff09\\ [1ex]\uff06+e^{ –  alpha x}\uff08csin {alpha x}+dcos {alpha x}} {beigned}\u3001ailpha x\uff09 \uff08b\uff09 \u3069\u3053 \u03b1=k4EJy4[1m]\u3001 {displaystyle textStyle {alpha = {sqrt [{4}] {frac {k} {4ej_ {y}}}}}}}}}}\u3001 \u7d76\u3048\u9593\u306a\u3044 a \u3001 b \u3001 c \u3001 d {displaystyle a\u3001b\u3001c\u3001d} \u554f\u984c\u306f\u5883\u754c\u6761\u4ef6\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002 \u7121\u9650\u306b\u9577\u3044\u30d3\u30fc\u30e0\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306f\u3001\u305f\u3068\u3048\u3070\u8def\u9762\u96fb\u8eca\u306e\u30ec\u30fc\u30eb\u3067\u3059\u3002\u30d3\u30fc\u30e0\u8377\u91cd\u306f\u5782\u76f4\u6fc3\u7e2e\u529b\u3067\u3059 p \u3002 {displaystyle P.} \u5ea7\u6a19\u7cfb\u3092\u53d7\u3051\u5165\u308c\u307e\u3059 0 \u30d0\u30c4 \u3068 {displaystyle 0xz} \u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u6642\u70b9\u3067\u3002\u7121\u9650\u306e\u8ddd\u96e2\u3067\u3001\u305d\u308c\u3092\u60f3\u5b9a\u3067\u304d\u307e\u3059 limx\u2192\u221e\u306e \uff08 \u30d0\u30c4 \uff09\uff09 = 0 \u3001 limx\u2192\u221ew\u2032\uff08 \u30d0\u30c4 \uff09\uff09 = 0\u3002 {displaystyle lim _ {xto infty} w\uff08x\uff09= 0\u3001quad lim _ {xto infty} w^{‘}\uff08x\uff09= 0.qquad {}}} \uff08c\uff09 \u3057\u305f\u304c\u3063\u3066\u3001\uff08c\uff09\u306b\u57fa\u3065\u3044\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 a = b = 0\u3002 {displaystyle a = b = 0\u3002} \u8ca0\u8377\u306e\u5bfe\u79f0\u7684\u306a\u52b9\u679c\u3092\u8003\u616e\u3059\u308b\u3068\u3001 limx\u21920+w\u2032\uff08 \u30d0\u30c4 \uff09\uff09 = 0\u3002 {displaystyle lim _ {xto 0+} w^{‘}\uff08x\uff09= 0.qquad {}} \uff08d\uff09 \u5bfe\u79f0\u6027\u306f\u307e\u305f\u3001\u30d3\u30fc\u30e0\u306e\u53f3\u534a\u5206\u304b\u3089\u306e\u571f\u58cc\u306e\u62b5\u6297\u304c\u306b\u7b49\u3057\u304f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059 P2{displaystyle {frac {p} {2}}} \u3069\u3053\u304b\u3089 Q \uff08 0 + \uff09\uff09 =  –  P2\u2192 \u3068 Jyw\u2034\uff08 0 + \uff09\uff09 =  –  P2\u3002 {displaystyle q\uff080+\uff09=  –  {frac {p} {2}} quad to quad ej_ {y} w^{” ‘}\uff080+\uff09=  –  {frac {p} {2}}\u3002qquad {}}} \uff08\u305d\u3046\u3067\u3059\uff09 \uff08d\uff09\u3068\uff08e\uff09\u306b\u57fa\u3065\u3044\u3066 c = d = P8EJy\u03b13.{displaystyle c = d = {frac {p} {8ej_ {y} alpha ^{3}\u3002}}}} \u3060\u304b\u3089\u79c1\u305f\u3061\u306f\u6301\u3063\u3066\u3044\u307e\u3059 0″> \u306e \uff08 \u30d0\u30c4 \uff09\uff09 = P8EJy\u03b13e\u2212\u03b1x\uff08 \u7f6a \u2061 a \u30d0\u30c4 + cos \u2061 a \u30d0\u30c4 \uff09\uff09 \u3001 {displaystyle w\uff08x\uff09= {frac {p} {8ej_ {y} alpha ^{3}}} e ^{ –  alpha x}\uff08sin alpha x+cos alpha x\uff09\u3001} w\u2032\uff08 \u30d0\u30c4 \uff09\uff09 = P4EJy\u03b12e\u2212\u03b1x\u7f6a \u2061 a \u30d0\u30c4 \u3001 {displaystyle w^{‘}\uff08x\uff09= {frac {p} {4ej_ {y} alpha^{2}}} e^{ –  alpha x} sin alpha x\u3001} My\uff08 \u30d0\u30c4 \uff09\uff09 = P4\u03b1e\u2212\u03b1x\uff08 \u7f6a \u2061 a \u30d0\u30c4  –  cos \u2061 a \u30d0\u30c4 \uff09\uff09 \u3001 {displaystyle m_ {y}\uff08x\uff09= {frac {p} {4alpha}} e^{ –  alpha x}\uff08sin alpha x-cos alpha x\uff09\u3001} Qz\uff08 \u30d0\u30c4 \uff09\uff09 =  –  P2e\u2212\u03b1xcos \u2061 a \u30d0\u30c4 \u3002 {displaystyle q_ {z}\uff08x\uff09=  –  {frac {p} {2}} e^{ –  alpha x} cos alpha x\u3002} \u4f8b1\u3068\u540c\u3058\u30d3\u30fc\u30e0\u306f\u3001\u9069\u5207\u306a\u77ac\u9593\u3067\u30ed\u30fc\u30c9\u3067\u304d\u307e\u3059\u3002 m {displaystyle m} \u9069\u7528 \u30d0\u30c4 = 0\u3002 {displaystyle x = 0\u3002} \uff08c\uff09\u306b\u57fa\u3065\u304f a = b = 0\u3002 {displaystyle a = b = 0\u3002} \u30b7\u30b9\u30c6\u30e0\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u5bfe\u79f0\u6027\u3068\u3001\u8ef8\u306b\u5bfe\u3059\u308b\u8ca0\u8377\u306e\u6297\u4f53\u6e2c\u5b9a\u3092\u8003\u616e\u3059\u308b 0 \u3068 {displaystyle 0z} \u79c1\u305f\u3061\u306f\u305d\u308c\u3092\u60f3\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 limx\u21920+\u306e \uff08 \u30d0\u30c4 \uff09\uff09 = 0\u3002 {displaystyle lim _ {xto 0+} w\uff08x\uff09= 0.qquad {}} \uff08f\uff09 \u305d\u308c\u304c\u305d\u308c\u306b\u7d9a\u304f\u3068\u3053\u308d\u304b\u3089 d = 0\u3002 {displaystyle d = 0\u3002}  \u79c1\u305f\u3061\u3082\u6301\u3063\u3066\u3044\u307e\u3059 m \uff08 0 + \uff09\uff09 = M2\u2192 \u3068 Jyw\u2033\uff08 0 + \uff09\uff09 = M2\u3002 {displaystyle m\uff080+\uff09= {frac {m} {2}} quad to quad ej_ {y} w^{”}\uff080+\uff09= {frac {m} {2}}\u3002 \uff08g\uff09 \uff08f\uff09\u3068\uff08g\uff09\u306b\u57fa\u3065\u3044\u3066\u53d6\u5f97\u3055\u308c\u307e\u3059 c =  –  M4EJy\u03b12\u3002 {displaystyle c =  –  {frac {m} {4ej_ {y} alpha ^{2}}}}} \u3060\u304b\u3089\u79c1\u305f\u3061\u306f\u6301\u3063\u3066\u3044\u307e\u3059 0″> \u306e \uff08 \u30d0\u30c4 \uff09\uff09 =  –  M4EJy\u03b12e\u2212\u03b1x\u7f6a \u2061 a \u30d0\u30c4 \u3001 {displaystyle w\uff08x\uff09=  –  {frac {m} {4ej_ {y} alpha ^{2}}} e ^{ –  alpha x} sin alpha x\u3001} \u306e \uff08 \u30d0\u30c4 )\u2032= M4EJy\u03b1e\u2212\u03b1x\uff08 \u7f6a \u2061 a \u30d0\u30c4  –  c o s a \u30d0\u30c4 \uff09\uff09 \u3001 {displaystyle w\uff08x\uff09^{‘} = {frac {m} {4ej_ {y} alpha}} e^{ –  alpha x}\uff08sin alpha x-cosalpha x\uff09\u3001} My\uff08 \u30d0\u30c4 \uff09\uff09 = M2e\u2212\u03b1xcos \u2061 a \u30d0\u30c4 \u3001 {displaystyle m_ {y}\uff08x\uff09= {frac {m} {2}} e^{ –  alpha x} cos alpha x\u3001} Qz\uff08 \u30d0\u30c4 \uff09\uff09 =  –  M\u03b12e\u2212\u03b1x\uff08 \u7f6a \u2061 a \u30d0\u30c4 + cos \u2061 a \u30d0\u30c4 \uff09\uff09 \u3002 {displaystyle q_ {z}\uff08x\uff09=  –  {frac {malpha} {2}} e^{ –  alpha x}\uff08sin alpha x+cos alpha x\uff09\u3002}} \u2191  S. Piechnik\u3001 \u6750\u6599\u5f37\u5ea6 \u3001PWN\u3001Warsaw 1980\u3001p\u3002328\u3002  \u2191  L. suwalski\u3001 \u5f3e\u529b\u6027\u306e\u3042\u308b\u5730\u9762\u306e\u30d3\u30fc\u30e0 – \u8a08\u7b97\u30eb\u30fc\u30eb\u3068\u5f71\u97ff\u529b\u306e\u3042\u308b\u7dda \u3001\u5178\u578b\u7684\u306a\u7523\u696d\u5efa\u8a2d\u306e\u7814\u7a76\u3068\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u5c40\u3001\u30ef\u30eb\u30b7\u30e3\u30ef1952\u3002  \u2191  S.R. Tymoshenko\u3001Material Resistance\u3001T\u30022\u3001p\u300211\u3001Publishing House\u201cNa\u049da\u201d\u3001Mosova\u30011965\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/12516#breadcrumbitem","name":"\u5f3e\u6027\u57fa\u677f\u4e0a\u306e\u30d9\u30eb\u30ab-Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178"}}]}]