Nonlinear forced vibration analysis of micro-rotating shaft-disk systems through a formulation based on the nonlocal strain gradient theory

• Autorzy: Panahi Ramin , Asghari Mohsen , Borjalilou Vahid

Identyfikatory

DOI

10.1007/s43452-023-00617-7

• Języki publikacji: EN

Abstrakty

EN

The paper presents an upgraded size-dependent formulation for micro-rotating shaft-disks system to study their nonlinear forced vibration behavior. The novel formulation is based on the nonlocal strain gradient theory (NSGT). To achieve this goal, first of all, by incorporating the geometrical nonlinearity within the Rayleigh beam theory, the governing equations of the lateral motion of the system are derived by the Hamilton principle and then converted into a complex form. By defning some dimensionless parameters, the normalized form of the complex governing equation is also extracted. In the next step, the Galerkin method is implemented to establish an infinite set of ordinary differential equations (ODEs). Then, with the help of the method of multiple scales, the nonlinear ODE is solved to attain the vibrational amplitude of the system as well as its forward and backward natural frequencies. Lastly, an all-out parametric study is conducted to appraise the impact of some important factors like the nonlocal theory parameter, the strain gradient length scale parameter, the rotational speed, the amount of mass eccentricity and the internal damping coeffcient on the motion amplitude and natural frequencies. The numerical outcomes illuminate well that depending on the relative value of two non-classical parameters of NSGT, this theory have the potential to reflect the hardening or softening attribute of small-scaled mechanical elements.

Słowa kluczowe

EN

microrotor; nonlinear analysis; forced oscillation; size effect; nonlocal strain gradient theory

PL

mikrorotor; analiza nieliniowa; oscylacja wymuszona; efekt rozmiaru

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2023
• Tom: Vol. 23, no. 2
• Strony: art. no. e85, 2023
• Opis fizyczny: Bibliogr. 62 poz., rys., wykr.

Twórcy

autor

Panahi Ramin

• Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

autor

Asghari Mohsen

• Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

autor

Borjalilou Vahid

• Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

• https://orcid.org/0000-0003-0902-4749

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