On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle
Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may mov...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1996 |
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| Umfang: |
30 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Journal of elasticity - 1971, 42(1996) vom: Jan., Seite 1-30 |
| Übergeordnetes Werk: |
volume:42 ; year:1996 ; month:01 ; pages:1-30 ; extent:30 |
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NLEJ193769875 |
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| 245 | 1 | 0 | |a On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle |
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| 520 | |a Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. | ||
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| 700 | 1 | |a Andrews, Kevin T. |4 oth | |
| 700 | 1 | |a Shillor, M. |4 oth | |
| 700 | 1 | |a Wright, S. |4 oth | |
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(DE-627)NLEJ193769875 DE-627 ger DE-627 rakwb eng On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle 1996 30 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. Springer Online Journal Archives 1860-2002 Andrews, Kevin T. oth Shillor, M. oth Wright, S. oth in Journal of elasticity 1971 42(1996) vom: Jan., Seite 1-30 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:42 year:1996 month:01 pages:1-30 extent:30 http://dx.doi.org/10.1007/BF00041221 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 42 1996 1 1-30 30 |
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(DE-627)NLEJ193769875 DE-627 ger DE-627 rakwb eng On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle 1996 30 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. Springer Online Journal Archives 1860-2002 Andrews, Kevin T. oth Shillor, M. oth Wright, S. oth in Journal of elasticity 1971 42(1996) vom: Jan., Seite 1-30 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:42 year:1996 month:01 pages:1-30 extent:30 http://dx.doi.org/10.1007/BF00041221 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 42 1996 1 1-30 30 |
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(DE-627)NLEJ193769875 DE-627 ger DE-627 rakwb eng On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle 1996 30 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. Springer Online Journal Archives 1860-2002 Andrews, Kevin T. oth Shillor, M. oth Wright, S. oth in Journal of elasticity 1971 42(1996) vom: Jan., Seite 1-30 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:42 year:1996 month:01 pages:1-30 extent:30 http://dx.doi.org/10.1007/BF00041221 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 42 1996 1 1-30 30 |
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(DE-627)NLEJ193769875 DE-627 ger DE-627 rakwb eng On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle 1996 30 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. Springer Online Journal Archives 1860-2002 Andrews, Kevin T. oth Shillor, M. oth Wright, S. oth in Journal of elasticity 1971 42(1996) vom: Jan., Seite 1-30 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:42 year:1996 month:01 pages:1-30 extent:30 http://dx.doi.org/10.1007/BF00041221 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 42 1996 1 1-30 30 |
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(DE-627)NLEJ193769875 DE-627 ger DE-627 rakwb eng On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle 1996 30 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. Springer Online Journal Archives 1860-2002 Andrews, Kevin T. oth Shillor, M. oth Wright, S. oth in Journal of elasticity 1971 42(1996) vom: Jan., Seite 1-30 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:42 year:1996 month:01 pages:1-30 extent:30 http://dx.doi.org/10.1007/BF00041221 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 42 1996 1 1-30 30 |
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On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle |
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Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. |
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Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. |
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Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized. |
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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">NLEJ193769875</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707214822.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070526s1996 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ193769875</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="245" ind1="1" ind2="0"><subfield code="a">On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">30</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Springer Online Journal Archives 1860-2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Andrews, Kevin T.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shillor, M.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wright, S.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Journal of elasticity</subfield><subfield code="d">1971</subfield><subfield code="g">42(1996) vom: Jan., Seite 1-30</subfield><subfield code="w">(DE-627)NLEJ188991999</subfield><subfield code="w">(DE-600)2015283-8</subfield><subfield code="x">1573-2681</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:42</subfield><subfield code="g">year:1996</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:1-30</subfield><subfield code="g">extent:30</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1007/BF00041221</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SOJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">42</subfield><subfield code="j">1996</subfield><subfield code="c">1</subfield><subfield code="h">1-30</subfield><subfield code="g">30</subfield></datafield></record></collection>
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