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Analysis of transverse free vibration characteristics of two-span continuously modified Timoshenko beams on viscoelastic four-parameter foundation
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Wei LIU1, Guobing WANG2
Journal of Vibration Engineering | 2025, 38(3) : 604 - 611
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Journal of Vibration Engineering | 2025, 38(3): 604-611
Analysis of transverse free vibration characteristics of two-span continuously modified Timoshenko beams on viscoelastic four-parameter foundation
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Wei LIU1, Guobing WANG2
Affiliations
  • 1.School of Civil Engineering,Lanzhou University of Information Science and Technology,Lanzhou 730300,China
  • 2.Geotechnical Engineering Research Institute,Xi’an University of Technology,Xi’an 710048,China
Published: 2025-03-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.03.017
Outline
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In order to solve the transverse vibration problem of two-span continuously modified Timoshenko beam on viscoelastic four-parameter foundation,a new vibration governing equation is established by combining two-span continuously modified Timoshenko beam with viscoelastic four-parameter foundation. By using the echo matrix method,bisection and golden section method,the relation and difference between the natural vibration characteristics of two-span(equal-span,unequal-span)continuously modified Timoshenko beam and single-span modified Timoshenko beam on viscoelastic four-parameter foundation are analyzed. The results show that for the modified Timoshenko beam on the viscoelastic four-parameter foundation,the natural frequency of each order of the single-span beam is less than that of the two-span continuous beam,the even-order natural frequency and attenuation coefficient of the single-span beam are the same as the odd-order natural frequency and attenuation coefficient of the two equal-span continuous beam,and the odd-order natural frequency of the unequal-span two-span continuous beam is less than that of the two-span continuous beam. The even-order mode shapes of two equal-span continuous modified Timoshenko beams are symmetrical with respect to the supports in the middle of the span,and the odd-order modes are antisymmetric with respect to the mid-span.

viscoelastic four-parameter foundation  /  two-span continuously modified Timoshenko beam  /  return ray matrix method  /  transverse vibration  /  mode
Wei LIU, Guobing WANG. Analysis of transverse free vibration characteristics of two-span continuously modified Timoshenko beams on viscoelastic four-parameter foundation[J]. Journal of Vibration Engineering, 2025 , 38 (3) : 604 -611 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.03.017
Year 2025 volume 38 Issue 3
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.03.017
  • Receive Date:2024-02-16
  • Online Date:2026-02-11
  • Published:2025-03-10
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  • Received:2024-02-16
  • Revised:2024-04-05
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Affiliations
    1.School of Civil Engineering,Lanzhou University of Information Science and Technology,Lanzhou 730300,China
    2.Geotechnical Engineering Research Institute,Xi’an University of Technology,Xi’an 710048,China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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