Thermoelastic Vibration of Temperature-Dependent Nanobeams Due to Rectified Sine Wave Heating—A State Space Approach
عنوان مقاله: Thermoelastic Vibration of Temperature-Dependent Nanobeams Due to Rectified Sine Wave Heating—A State Space Approach
شناسه ملی مقاله: JR_JACM-5-2_011
منتشر شده در شماره 2 دوره 5 فصل در سال 1398
شناسه ملی مقاله: JR_JACM-5-2_011
منتشر شده در شماره 2 دوره 5 فصل در سال 1398
مشخصات نویسندگان مقاله:
Ashraf Zenkour - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box ۸۰۲۰۳, Jeddah ۲۱۵۸۹, Saudi Arabia | Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh ۳۳۵۱۶, Egypt
Ahmed Abouelregal - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura ۳۵۵۱۶, Egypt
خلاصه مقاله:
Ashraf Zenkour - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box ۸۰۲۰۳, Jeddah ۲۱۵۸۹, Saudi Arabia | Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh ۳۳۵۱۶, Egypt
Ahmed Abouelregal - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura ۳۵۵۱۶, Egypt
In this study, the second type of Green and Naghdi s thermoelasticity theory is applied to present the vibration of a nanobeam subjected to rectified sine wave heating based upon the nonlocal thermoelasticity theory. Both Young s modulus and thermal conductivity are considered to be linear functions of the temperature. The Laplace transform domain is adopted to solve the governing partial differential equations using the state space approach. Numerical computations are carried out using the inverse of Laplace transforms. The effects of nonlocal parameter and angular frequency on the thermal vibration quantities are discussed. The results of all quantities are illustrated graphically and investigated.
کلمات کلیدی: Green and Naghdi s theory, Nanobeam, Nonlocal thermoelasticity theory, State-space formulation, Rectified sine wave heating
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/893986/