Stabilization of laminated beams with interfacial slip
We study a laminated beam consisting of two identical beams of uniform thickness, which is modeled as Timoshenko beams. An adhesive of small thickness is bonding the two layers and creating a restoring force producing a damping. It has been shown that the interfacial slip between the layers alon...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/129/abstr.html |
| _version_ | 1819055244607225856 |
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| author | Assane Lo Nasser-eddine Tatar |
| author_facet | Assane Lo Nasser-eddine Tatar |
| author_sort | Assane Lo |
| collection | DOAJ |
| description | We study a laminated beam consisting of two identical beams of uniform
thickness, which is modeled as Timoshenko beams.
An adhesive of small thickness is bonding the two layers and creating
a restoring force producing a damping. It has been shown that the
interfacial slip between the layers alone is not enough to stabilize the
system exponentially to its equilibrium state.
Some boundary control has been used in the literature for that
purpose. In this paper, we show that for viscoelastic material there
is no need for any kind of internal or boundary control. |
| first_indexed | 2024-12-21T13:04:26Z |
| format | Article |
| id | doaj.art-ee9be5e9a3a5420f8582a05fc83e658d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-21T13:04:26Z |
| publishDate | 2015-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-ee9be5e9a3a5420f8582a05fc83e658d2022-12-21T19:03:05ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-05-012015129,114Stabilization of laminated beams with interfacial slipAssane Lo0Nasser-eddine Tatar1 King Fahd Univ., Dhahran, Saudi Arabia King Fahd Univ., Dhahran, Saudi Arabia We study a laminated beam consisting of two identical beams of uniform thickness, which is modeled as Timoshenko beams. An adhesive of small thickness is bonding the two layers and creating a restoring force producing a damping. It has been shown that the interfacial slip between the layers alone is not enough to stabilize the system exponentially to its equilibrium state. Some boundary control has been used in the literature for that purpose. In this paper, we show that for viscoelastic material there is no need for any kind of internal or boundary control.http://ejde.math.txstate.edu/Volumes/2015/129/abstr.htmlExponential stabilizationvibration reductionTimoshenko systemslipboundary controlmultiplier technique |
| spellingShingle | Assane Lo Nasser-eddine Tatar Stabilization of laminated beams with interfacial slip Electronic Journal of Differential Equations Exponential stabilization vibration reduction Timoshenko system slip boundary control multiplier technique |
| title | Stabilization of laminated beams with interfacial slip |
| title_full | Stabilization of laminated beams with interfacial slip |
| title_fullStr | Stabilization of laminated beams with interfacial slip |
| title_full_unstemmed | Stabilization of laminated beams with interfacial slip |
| title_short | Stabilization of laminated beams with interfacial slip |
| title_sort | stabilization of laminated beams with interfacial slip |
| topic | Exponential stabilization vibration reduction Timoshenko system slip boundary control multiplier technique |
| url | http://ejde.math.txstate.edu/Volumes/2015/129/abstr.html |
| work_keys_str_mv | AT assanelo stabilizationoflaminatedbeamswithinterfacialslip AT nassereddinetatar stabilizationoflaminatedbeamswithinterfacialslip |