TY - JOUR ID - 71222 TI - Axially Forced Vibration Analysis of Cracked a Nanorod JO - Journal of Computational Applied Mechanics JA - JCAMECH LA - en SN - 2423-6713 AU - Akbaş, Şeref Doğuşcan AD - Civil Engineering, Engineering Fac., Bursa Technical University, Bursa,Turkey Y1 - 2019 PY - 2019 VL - 50 IS - 1 SP - 63 EP - 68 KW - Nanorods KW - Crack KW - Nonlocal Elasticity Theory KW - Forced Vibration Analysis DO - 10.22059/jcamech.2019.281285.392 N2 - Thisstudy presents axially forced vibration of a cracked nanorod under harmonic external dynamically load. In constitutive equation of problem, the nonlocal elasticity theory is used. The Crack is modelled as an axial spring in the crack section. In the axial spring model, the nonrod separates two sub-nanorods and the flexibility of the axial spring represents the effect of the crack. Boundary condition of the nanorod is selected as fixed-free and a harmonic load is subjected at the free end of the nanorod. Governing equation of the problem is obtained by using equilibrium conditions. In the solution of the governing equation, analytical solution is presented and exact expressions are tained for the forced vibration problem. On the solution method, the separation of variable is implemented and the forced vibration displacements are obtained exactly. In the open literature, the forced vibration analysis of the cracked nanorod has not been investigated broadly. The objective of this study is to fill this blank for cracked nanorods. In numerical results, influences of the crack parameter, position of crack, the nonlocal parameter and dynamic load parameters on forced vibration responses of the cracked nanorod are presented and discussed. UR - https://jcamech.ut.ac.ir/article_71222.html L1 - https://jcamech.ut.ac.ir/article_71222_8f5aeb3ff430217039aaedc6ca6dcd09.pdf ER -