Vibration analysis of nonlocal beams using higher-order theory and comparison with classical models. (Record no. 52044)

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control field MX-MdCICY
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250625160219.0
040 ## - CATALOGING SOURCE
Transcribing agency CICY
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN)
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) B-17883
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245 10 - TITLE STATEMENT
Title Vibration analysis of nonlocal beams using higher-order theory and comparison with classical models.
490 0# - SERIES STATEMENT
Volume/sequential designation Mechanics of advanced Materials and structures, p.1-17, 2019
520 3# - SUMMARY, ETC.
Summary, etc. New higher-order models are developed for plane rods and beams based on the linear theory of nonlocal elasticity. The one-dimensional higher-order theory is based on two-dimensional equations of the nonlocal theory of elasticity and expansion of the equations of the nonlocal theory of elasticity into a Fourier series of Legendre polynomials in a thickness coordinate. The higher-order models developed are then used in the analysis of the tension-compression and transverse bending modes of nonlocal rod and beam vibration. The equation of motion for each mode is analyzed separately. Free and forced vibration are analyzed using the eigenfunction expansion and Navier's analytic closed-form solution. An analysis and comparison with well-known theories is performed using computer algebra system MATHEMATICA. The proposed models consider nonlocal effects and can be used for vibration analysis of rods and beams at macroscales, microscales, and nanoscales.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element NONLOCAL BEAM
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element NONLOCAL ROD
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element LEGENDRE POLYNOMIAL
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element HIGHER-ORDER THEORY
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element EULER-BERNOULLI THEORY
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element RAYLEIGH THEORY
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element TIMOSHENKO BEAM THEORY
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Czekanski, A.
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Zozulya, V. V.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://drive.google.com/file/d/1mIsguV3iKiYG8cyM72nVp9AbOsqZmhnX/view?usp=drivesdk">https://drive.google.com/file/d/1mIsguV3iKiYG8cyM72nVp9AbOsqZmhnX/view?usp=drivesdk</a>
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Source of classification or shelving scheme Clasificación local
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  Clasificación local     Ref1 CICY CICY Documento préstamo interbibliotecario 25.06.2025   B-17883 25.06.2025 25.06.2025 Documentos solicitados