نوع مقاله : مقاله پژوهشی
نویسندگان
1 دانشگاه صنعتی سیرجان*مهندسی مکانیک
2 بخش مهندسی مکانیک، دانشگاه صنعتی سیرجان، سیرجان، ایران
3 مهندسی مکانیک، دانشگاه شهید باهنر کرمان، کرمان، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
In this study, vibration and stability analysis of micro-pipes conveying fluid under magnetic, electric, and thermal fields using classic, modified coupled stress, and modified strain gradient theories are presented. The Euler-Bernoulli beam theory with clamped-pinned, clamped-clamped, and pinned-pinned boundary conditions is used for modeling of the pipe. The differential equations governing the vibration of conveying fluid micro-pipe is derived through extended Hamilton’s method. Additionally, the extended Galerkin’s method is used to convert the governing PDEs into ODEs. The effects of size, boundary conditions, magnetic field, electric field, and thermal field on Eigenvalues and critical velocity are investigated. The results of the three theories have been compared with each other which showed the magnitude of each field’s effect on the same boundary conditions and theory is different. The most and least effective fields are magnetic and thermal fields, respectively, and the magnitude of the field’s effect is more evident on the pinned-pinned boundary condition. The results showed that the stability of the problem increases with the increase of the magnetic field coefficient, but decreases with the increase of the coefficient of electric and thermal fields.
کلیدواژهها [English]
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