An investigation of free vibrations of a strain gradient Timoshenko beams with the method of initial values

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Atıf İçin Kopyala

Nur C., Artan R.

MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS, cilt.26, sa.3, ss.835-852, 2020 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 26 Sayı: 3
• Basım Tarihi: 2020
• Doi Numarası: 10.1007/s00542-019-04626-6
• Dergi Adı: MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC
• Sayfa Sayıları: ss.835-852
• İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Investigated herein is the free vibrations of beams based on the strain gradient Timoshenko beam theory with the method of initial values. For the vibration of strain-gradient Timoshenko beam (SGTB), the sixth-order ordinary differential equation and three boundary conditions at each end have been obtained by using the Hamilton principle. The effect of the characteristic length on the frequencies of free vibrations is shown. The frequencies of the SGTB are compared to the frequencies of the strain gradient Euler beam (SGEB), classical Timoshenko beam (CTB) and classical Euler beam (CEB). It has been observed that the high-frequency values of conventional and strain-gradient beams are very different. This result can be used to determine the value of the material characteristic length for a nanobeam for which lengthscale effects are believed to be dominant.