Dynamic Behavior of a Beam Resting on a Viscoelastic Two-Parameter Base and Carrying a Moving Load
We consider the dynamic behavior of a beam with a moving load resting on a deformable base and characterized by two bed coefficients with allowance for dissipative losses. A self-consistent boundary-value problem has been formulated which correctly takes into account the interaction forces in a movi...
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| Veröffentlicht in: | Radiophysics and quantum electronics 2023, Vol.66 (10), p.721-728 |
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| creator | Erofeev, V. I. Lisenkova, E. E. |
| description | We consider the dynamic behavior of a beam with a moving load resting on a deformable base and characterized by two bed coefficients with allowance for dissipative losses. A self-consistent boundary-value problem has been formulated which correctly takes into account the interaction forces in a moving contact. The features of the bending-wave generation by a zero-frequency oscillation source are studied. The critical velocities of the source motion are determined. In the case of low viscosity, the critical velocities do not depend on dissipative losses in the base and are determined by the physical and mechanical properties of the beam and the bed coefficients. An expression for the force due to the wave pressure (the force of resistance to motion) is obtained. The dependence of the constant component of this force on the object velocity and elastic and viscous parameters of the base is studied. The calculation of the energy consumption of the source, which ensures the object motion at a constant velocity, is carried out. When the load moves at a velocity not exceeding the minimum phase velocity of the bending-wave propagation in the beam, the motion-resistance force and the energy consumption are zero and differ from zero in the presence of dissipative losses in the deformable base. A comparison with the results obtained for the one-parameter elastic base of the Fuss-Winkler model is given. |
| doi_str_mv | 10.1007/s11141-024-10330-x |
| format | Article |
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I. ; Lisenkova, E. E.</creator><creatorcontrib>Erofeev, V. I. ; Lisenkova, E. E.</creatorcontrib><description>We consider the dynamic behavior of a beam with a moving load resting on a deformable base and characterized by two bed coefficients with allowance for dissipative losses. A self-consistent boundary-value problem has been formulated which correctly takes into account the interaction forces in a moving contact. The features of the bending-wave generation by a zero-frequency oscillation source are studied. The critical velocities of the source motion are determined. In the case of low viscosity, the critical velocities do not depend on dissipative losses in the base and are determined by the physical and mechanical properties of the beam and the bed coefficients. An expression for the force due to the wave pressure (the force of resistance to motion) is obtained. The dependence of the constant component of this force on the object velocity and elastic and viscous parameters of the base is studied. The calculation of the energy consumption of the source, which ensures the object motion at a constant velocity, is carried out. When the load moves at a velocity not exceeding the minimum phase velocity of the bending-wave propagation in the beam, the motion-resistance force and the energy consumption are zero and differ from zero in the presence of dissipative losses in the deformable base. A comparison with the results obtained for the one-parameter elastic base of the Fuss-Winkler model is given.</description><identifier>ISSN: 0033-8443</identifier><identifier>EISSN: 1573-9120</identifier><identifier>DOI: 10.1007/s11141-024-10330-x</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Astronomy ; Astrophysics and Astroparticles ; Bending ; Boundary value problems ; Contact pressure ; Dissipation ; Elastic deformation ; Elastic properties ; Energy consumption ; Formability ; Hadrons ; Heavy Ions ; Lasers ; Mathematical and Computational Physics ; Mechanical properties ; Moving loads ; Nuclear Physics ; Object motion ; Observations and Techniques ; Optical Devices ; Optics ; Parameters ; Phase velocity ; Photonics ; Physical properties ; Physics ; Physics and Astronomy ; Pressure dependence ; Propagation velocity ; Quantum Optics ; Theoretical ; Velocity ; Wave generation ; Wave propagation ; Wave resistance</subject><ispartof>Radiophysics and quantum electronics, 2023, Vol.66 (10), p.721-728</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c200t-1be9b9bfa19c7c24a6e297f762cf5f230061450315691570d863467efd694a743</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11141-024-10330-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11141-024-10330-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Erofeev, V. I.</creatorcontrib><creatorcontrib>Lisenkova, E. E.</creatorcontrib><title>Dynamic Behavior of a Beam Resting on a Viscoelastic Two-Parameter Base and Carrying a Moving Load</title><title>Radiophysics and quantum electronics</title><addtitle>Radiophys Quantum El</addtitle><description>We consider the dynamic behavior of a beam with a moving load resting on a deformable base and characterized by two bed coefficients with allowance for dissipative losses. A self-consistent boundary-value problem has been formulated which correctly takes into account the interaction forces in a moving contact. The features of the bending-wave generation by a zero-frequency oscillation source are studied. The critical velocities of the source motion are determined. In the case of low viscosity, the critical velocities do not depend on dissipative losses in the base and are determined by the physical and mechanical properties of the beam and the bed coefficients. An expression for the force due to the wave pressure (the force of resistance to motion) is obtained. The dependence of the constant component of this force on the object velocity and elastic and viscous parameters of the base is studied. The calculation of the energy consumption of the source, which ensures the object motion at a constant velocity, is carried out. When the load moves at a velocity not exceeding the minimum phase velocity of the bending-wave propagation in the beam, the motion-resistance force and the energy consumption are zero and differ from zero in the presence of dissipative losses in the deformable base. A comparison with the results obtained for the one-parameter elastic base of the Fuss-Winkler model is given.</description><subject>Astronomy</subject><subject>Astrophysics and Astroparticles</subject><subject>Bending</subject><subject>Boundary value problems</subject><subject>Contact pressure</subject><subject>Dissipation</subject><subject>Elastic deformation</subject><subject>Elastic properties</subject><subject>Energy consumption</subject><subject>Formability</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Lasers</subject><subject>Mathematical and Computational Physics</subject><subject>Mechanical properties</subject><subject>Moving loads</subject><subject>Nuclear Physics</subject><subject>Object motion</subject><subject>Observations and Techniques</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Parameters</subject><subject>Phase velocity</subject><subject>Photonics</subject><subject>Physical properties</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Pressure dependence</subject><subject>Propagation velocity</subject><subject>Quantum Optics</subject><subject>Theoretical</subject><subject>Velocity</subject><subject>Wave generation</subject><subject>Wave propagation</subject><subject>Wave resistance</subject><issn>0033-8443</issn><issn>1573-9120</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kM1OwzAQhC0EEqXwApwscTasY8dJjrT8SkUgVLham8QuqZq42G1p3x6XIHHjZHs03-x6CDnncMkBsqvAOZecQSIZByGAbQ_IgKeZYAVP4JAMIKosl1Ick5MQ5gARk_mAlDe7DtumoiPzgZvGeeosxfjClr6asGq6GXVdVN6bUDmzwChVdPrl2At6bM3KeDrCYCh2NR2j97s9gfTJbfaXicP6lBxZXARz9nsOydvd7XT8wCbP94_j6wmrEoAV46UpyqK0yIsqqxKJyiRFZjOVVDa1iQBQXKYgeKqK-DOocyWkyoytVSExk2JILvrcpXef67i7nru17-JILThXKs0zoaIr6V2VdyF4Y_XSNy36neag913qvksdu9Q_XepthEQPhWjuZsb_Rf9DfQNbk3Vl</recordid><startdate>2023</startdate><enddate>2023</enddate><creator>Erofeev, V. 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E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c200t-1be9b9bfa19c7c24a6e297f762cf5f230061450315691570d863467efd694a743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Astronomy</topic><topic>Astrophysics and Astroparticles</topic><topic>Bending</topic><topic>Boundary value problems</topic><topic>Contact pressure</topic><topic>Dissipation</topic><topic>Elastic deformation</topic><topic>Elastic properties</topic><topic>Energy consumption</topic><topic>Formability</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Lasers</topic><topic>Mathematical and Computational Physics</topic><topic>Mechanical properties</topic><topic>Moving loads</topic><topic>Nuclear Physics</topic><topic>Object motion</topic><topic>Observations and Techniques</topic><topic>Optical Devices</topic><topic>Optics</topic><topic>Parameters</topic><topic>Phase velocity</topic><topic>Photonics</topic><topic>Physical properties</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Pressure dependence</topic><topic>Propagation velocity</topic><topic>Quantum Optics</topic><topic>Theoretical</topic><topic>Velocity</topic><topic>Wave generation</topic><topic>Wave propagation</topic><topic>Wave resistance</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Erofeev, V. I.</creatorcontrib><creatorcontrib>Lisenkova, E. E.</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Radiophysics and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Erofeev, V. I.</au><au>Lisenkova, E. 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In the case of low viscosity, the critical velocities do not depend on dissipative losses in the base and are determined by the physical and mechanical properties of the beam and the bed coefficients. An expression for the force due to the wave pressure (the force of resistance to motion) is obtained. The dependence of the constant component of this force on the object velocity and elastic and viscous parameters of the base is studied. The calculation of the energy consumption of the source, which ensures the object motion at a constant velocity, is carried out. When the load moves at a velocity not exceeding the minimum phase velocity of the bending-wave propagation in the beam, the motion-resistance force and the energy consumption are zero and differ from zero in the presence of dissipative losses in the deformable base. A comparison with the results obtained for the one-parameter elastic base of the Fuss-Winkler model is given.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11141-024-10330-x</doi><tpages>8</tpages></addata></record> |
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| subjects | Astronomy Astrophysics and Astroparticles Bending Boundary value problems Contact pressure Dissipation Elastic deformation Elastic properties Energy consumption Formability Hadrons Heavy Ions Lasers Mathematical and Computational Physics Mechanical properties Moving loads Nuclear Physics Object motion Observations and Techniques Optical Devices Optics Parameters Phase velocity Photonics Physical properties Physics Physics and Astronomy Pressure dependence Propagation velocity Quantum Optics Theoretical Velocity Wave generation Wave propagation Wave resistance |
| title | Dynamic Behavior of a Beam Resting on a Viscoelastic Two-Parameter Base and Carrying a Moving Load |
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