. . "2"^^ . . "RIV/61989100:_____/07:#0000085" . . . "8"^^ . "Nestabiln\u00ED parametrick\u00E9 kmit\u00E1n\u00ED p\u0159i doprav\u011B na z\u00E1v\u011Bsn\u00E9 lanov\u00E9 dr\u00E1ze"@cs . "Vysok\u00E1 \u0161kola b\u00E1\u0148sk\u00E1 - Technick\u00E1 univerzita Ostrava" . "2"^^ . "Sborn\u00EDk v\u011Bdeck\u00FDch prac\u00ED Vysok\u00E9 \u0161koly b\u00E1\u0148sk\u00E9 \u2013 Technick\u00E9 univerzity Ostrava, \u0159ada strojn\u00ED" . "Parametrick\u00E9 kmit\u00E1n\u00ED se objevuje jestli\u017Ee n\u011Bkter\u00FD z parametr\u016F, nap\u0159. tuhost, m\u011Bn\u00ED svou hodnotu. V\u00FDsledn\u00FD pohyb je ovlivn\u011Bn dv\u011Bma odli\u0161n\u00FDmi frekvencemi. Vlastn\u00ED frekvence kmit\u00E1n\u00ED a frekvence zm\u011Bny tuhosti. Analytick\u00E9 \u0159e\u0161en\u00ED pro harmonicky prom\u011Bnn\u00FD parametr provedl Mathieu. V\u00FDsledn\u00FD pohyb m\u016F\u017Ee m\u00EDt stabiln\u00ED nebo nestabiln\u00ED podobu v z\u00E1vislosti na hodnot\u011B dvou bezrozm\u011Brn\u00FDch konstant. Prvn\u00ED p\u0159edstavuje pom\u011Br vlastn\u00ED frekvence a frekvence zm\u011Bny tuhosti, druh\u00E1 pom\u011Br zm\u011Bny tuhosti k jej\u00ED pr\u016Fm\u011Brn\u00E9 hodnot\u011B. P\u0159i doprav\u011B na lanov\u00E9 dr\u00E1ze ve vodorovn\u00E9m d\u016Fln\u00EDm d\u00EDle se parametrick\u00E9 kmit\u00E1n\u00ED m\u016F\u017Ee objevit ve dvou podob\u00E1ch. P\u0159\u00ED\u010Dn\u00E9 k\u00FDv\u00E1n\u00ED ve vodorovn\u00E9m sm\u011Bru (matematick\u00E9 kyvadlo) a svisl\u00E9 kmit\u00E1n\u00ED, dan\u00E9 poddajnost\u00ED lana, jsou analyzov\u00E1na a jsou ur\u010Deny podm\u00EDnky rozvoje parametrick\u00E9ho kmit\u00E1n\u00ED."@cs . "The parametric oscillation appears if some parameter of the oscillating system, e.g. stiffness, changes its value in the process of oscillation. The two different frequencies have influence on the resulting motion. The natural frequency of the system and frequency of the stiffness change. The analytical solution for the harmonic change was performed by Mathieu. The resulting motion can have stable or instable form, depending on the value of two dimensionless constants. First represents the ratio between natural frequency a frequency of the stiffness change, second represents ratio between the variation and average value of stiffness. During the transport on the rope track in the horizontal mine opening two forms of the parametric oscillations can appear. The diagonal swinging in the horizontal direction (mathematical pendulum) and vertical oscillations due to rope stiffness are analyzed and the conditions of the parametric oscillations appearance are determined."@en . "RIV/61989100:_____/07:#0000085!RIV09-CBU-61989100" . . "[3AACF9F2985A]" . "Pode\u0161va, Ji\u0159\u00ED" . "Nestabiln\u00ED parametrick\u00E9 kmit\u00E1n\u00ED p\u0159i doprav\u011B na z\u00E1v\u011Bsn\u00E9 lanov\u00E9 dr\u00E1ze" . "1210-0471" . . . "P(AACBU49-06)" . . "Nestabiln\u00ED parametrick\u00E9 kmit\u00E1n\u00ED p\u0159i doprav\u011B na z\u00E1v\u011Bsn\u00E9 lanov\u00E9 dr\u00E1ze"@cs . . . . . . "2008-01-01+01:00"^^ . . . "Parametrick\u00E9 kmit\u00E1n\u00ED se objevuje jestli\u017Ee n\u011Bkter\u00FD z parametr\u016F, nap\u0159. tuhost, m\u011Bn\u00ED svou hodnotu. V\u00FDsledn\u00FD pohyb je ovlivn\u011Bn dv\u011Bma odli\u0161n\u00FDmi frekvencemi. Vlastn\u00ED frekvence kmit\u00E1n\u00ED a frekvence zm\u011Bny tuhosti. Analytick\u00E9 \u0159e\u0161en\u00ED pro harmonicky prom\u011Bnn\u00FD parametr provedl Mathieu. V\u00FDsledn\u00FD pohyb m\u016F\u017Ee m\u00EDt stabiln\u00ED nebo nestabiln\u00ED podobu v z\u00E1vislosti na hodnot\u011B dvou bezrozm\u011Brn\u00FDch konstant. Prvn\u00ED p\u0159edstavuje pom\u011Br vlastn\u00ED frekvence a frekvence zm\u011Bny tuhosti, druh\u00E1 pom\u011Br zm\u011Bny tuhosti k jej\u00ED pr\u016Fm\u011Brn\u00E9 hodnot\u011B. P\u0159i doprav\u011B na lanov\u00E9 dr\u00E1ze ve vodorovn\u00E9m d\u016Fln\u00EDm d\u00EDle se parametrick\u00E9 kmit\u00E1n\u00ED m\u016F\u017Ee objevit ve dvou podob\u00E1ch. P\u0159\u00ED\u010Dn\u00E9 k\u00FDv\u00E1n\u00ED ve vodorovn\u00E9m sm\u011Bru (matematick\u00E9 kyvadlo) a svisl\u00E9 kmit\u00E1n\u00ED, dan\u00E9 poddajnost\u00ED lana, jsou analyzov\u00E1na a jsou ur\u010Deny podm\u00EDnky rozvoje parametrick\u00E9ho kmit\u00E1n\u00ED." . . . "Pol\u00E1k, Jarom\u00EDr" . "Ostrava" . "Ostrava" . "The Instable Parametric Oscillations During The Rope Track Transport"@en . "Nestabiln\u00ED parametrick\u00E9 kmit\u00E1n\u00ED p\u0159i doprav\u011B na z\u00E1v\u011Bsn\u00E9 lanov\u00E9 dr\u00E1ze" . "436923" . . "The Instable Parametric Oscillations During The Rope Track Transport"@en . "Parametric oscillation,Stiffness, Mass , Parameters,Rope transport"@en . "978-80-248-1891-7" .