Torsional Vibrations of a Conic Shaft with Opposite Tapers Carrying Arbitrary Concentrated Elements
المؤلف
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-19، 19ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-04-11
دولة النشر
مصر
عدد الصفحات
19
التخصصات الرئيسية
الملخص EN
The purpose of this paper is to present the exact solution for free torsional vibrations of a linearly tapered circular shaft carrying a number of concentrated elements.
First of all, the equation of motion for free torsional vibration of a conic shaft is transformed into a Bessel equation, and, based on which, the exact displacement function in terms of Bessel functions is obtained.
Next, the equations for compatibility of deformations and equilibrium of torsional moments at each attaching point (including the shaft ends) between the concentrated elements and the conic shaft with positive and negative tapers are derived.
From the last equations, a characteristic equation of the form [H]{C}=0 is obtained.
Then, the natural frequencies of the torsional shaft are determined from the determinant equation |H|=0, and, corresponding to each natural frequency, the column vector for the integration constants, {C}, is obtained from the equation [H]{C}=0.
Substitution of the last integration constants into the associated displacement functions gives the corresponding mode shape of the entire conic shaft.
To confirm the reliability of the presented theory, all numerical results obtained from the exact method are compared with those obtained from the conventional finite element method (FEM) and good agreement is achieved.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Wu, Jia-Jang. 2013. Torsional Vibrations of a Conic Shaft with Opposite Tapers Carrying Arbitrary Concentrated Elements. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-1009561
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Wu, Jia-Jang. Torsional Vibrations of a Conic Shaft with Opposite Tapers Carrying Arbitrary Concentrated Elements. Mathematical Problems in Engineering No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-1009561
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Wu, Jia-Jang. Torsional Vibrations of a Conic Shaft with Opposite Tapers Carrying Arbitrary Concentrated Elements. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-1009561
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1009561
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر