Drift motion of free-rotor gyroscope with radial mass-unbalance
Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were ob...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yan-zhu, Liu [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2004 |
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| Anmerkung: |
© Editorial Committee of Applied Mathematics and Mechanics 2004 |
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| Übergeordnetes Werk: |
Enthalten in: Ying yong shu xue he li xue / English edition - Kluwer Academic Publishers, 1980, 25(2004), 7 vom: Juli, Seite 786-791 |
|---|---|
| Übergeordnetes Werk: |
volume:25 ; year:2004 ; number:7 ; month:07 ; pages:786-791 |
| Links: |
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| DOI / URN: |
10.1007/BF02437570 |
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OLC2042858927 |
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| 520 | |a Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. | ||
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10.1007/BF02437570 doi (DE-627)OLC2042858927 (DE-He213)BF02437570-p DE-627 ger DE-627 rakwb eng 510 VZ Yan-zhu, Liu verfasserin aut Drift motion of free-rotor gyroscope with radial mass-unbalance 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Editorial Committee of Applied Mathematics and Mechanics 2004 Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. Yun, Xue aut Enthalten in Ying yong shu xue he li xue / English edition Kluwer Academic Publishers, 1980 25(2004), 7 vom: Juli, Seite 786-791 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:25 year:2004 number:7 month:07 pages:786-791 https://doi.org/10.1007/BF02437570 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_4307 AR 25 2004 7 07 786-791 |
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10.1007/BF02437570 doi (DE-627)OLC2042858927 (DE-He213)BF02437570-p DE-627 ger DE-627 rakwb eng 510 VZ Yan-zhu, Liu verfasserin aut Drift motion of free-rotor gyroscope with radial mass-unbalance 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Editorial Committee of Applied Mathematics and Mechanics 2004 Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. Yun, Xue aut Enthalten in Ying yong shu xue he li xue / English edition Kluwer Academic Publishers, 1980 25(2004), 7 vom: Juli, Seite 786-791 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:25 year:2004 number:7 month:07 pages:786-791 https://doi.org/10.1007/BF02437570 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_4307 AR 25 2004 7 07 786-791 |
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10.1007/BF02437570 doi (DE-627)OLC2042858927 (DE-He213)BF02437570-p DE-627 ger DE-627 rakwb eng 510 VZ Yan-zhu, Liu verfasserin aut Drift motion of free-rotor gyroscope with radial mass-unbalance 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Editorial Committee of Applied Mathematics and Mechanics 2004 Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. Yun, Xue aut Enthalten in Ying yong shu xue he li xue / English edition Kluwer Academic Publishers, 1980 25(2004), 7 vom: Juli, Seite 786-791 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:25 year:2004 number:7 month:07 pages:786-791 https://doi.org/10.1007/BF02437570 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_4307 AR 25 2004 7 07 786-791 |
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10.1007/BF02437570 doi (DE-627)OLC2042858927 (DE-He213)BF02437570-p DE-627 ger DE-627 rakwb eng 510 VZ Yan-zhu, Liu verfasserin aut Drift motion of free-rotor gyroscope with radial mass-unbalance 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Editorial Committee of Applied Mathematics and Mechanics 2004 Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. Yun, Xue aut Enthalten in Ying yong shu xue he li xue / English edition Kluwer Academic Publishers, 1980 25(2004), 7 vom: Juli, Seite 786-791 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:25 year:2004 number:7 month:07 pages:786-791 https://doi.org/10.1007/BF02437570 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_4307 AR 25 2004 7 07 786-791 |
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10.1007/BF02437570 doi (DE-627)OLC2042858927 (DE-He213)BF02437570-p DE-627 ger DE-627 rakwb eng 510 VZ Yan-zhu, Liu verfasserin aut Drift motion of free-rotor gyroscope with radial mass-unbalance 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Editorial Committee of Applied Mathematics and Mechanics 2004 Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. Yun, Xue aut Enthalten in Ying yong shu xue he li xue / English edition Kluwer Academic Publishers, 1980 25(2004), 7 vom: Juli, Seite 786-791 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:25 year:2004 number:7 month:07 pages:786-791 https://doi.org/10.1007/BF02437570 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_4307 AR 25 2004 7 07 786-791 |
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Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. © Editorial Committee of Applied Mathematics and Mechanics 2004 |
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Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. © Editorial Committee of Applied Mathematics and Mechanics 2004 |
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Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation. © Editorial Committee of Applied Mathematics and Mechanics 2004 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2042858927</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506015420.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2004 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02437570</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2042858927</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02437570-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yan-zhu, Liu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Drift motion of free-rotor gyroscope with radial mass-unbalance</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2004</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Editorial Committee of Applied Mathematics and Mechanics 2004</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yun, Xue</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Ying yong shu xue he li xue / English edition</subfield><subfield code="d">Kluwer Academic Publishers, 1980</subfield><subfield code="g">25(2004), 7 vom: Juli, Seite 786-791</subfield><subfield code="w">(DE-627)130523747</subfield><subfield code="w">(DE-600)770632-7</subfield><subfield code="w">(DE-576)016095987</subfield><subfield code="x">0253-4827</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:25</subfield><subfield code="g">year:2004</subfield><subfield code="g">number:7</subfield><subfield code="g">month:07</subfield><subfield code="g">pages:786-791</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02437570</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">25</subfield><subfield code="j">2004</subfield><subfield code="e">7</subfield><subfield code="c">07</subfield><subfield code="h">786-791</subfield></datafield></record></collection>
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