A Mathematical Model for Top Nutation Based on Inertial Forces of Distributed Masses
المؤلفون المشاركون
Usubamatov, Ryspek
Omorova, Albina
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-03-05
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
The main property of gyroscopic devices is maintaining the axis of a spinning rotor, a mathematical model formulated on the principle of the change in the angular momentum.
This principle is used for mathematical modeling of the motions of a top at known publications.
Nevertheless, practical tests of gyroscopic devices do not correspond to this analytical approach.
Recent investigations have demonstrated that the origin of gyroscope properties is more complex than that represented in known publications.
The applied torque on a gyroscope produces internal torques of the spinning rotor based on the action of the several inertial forces.
These forces are the centrifugal, Coriolis, and common inertial forces as well as the change in the angular momentum generated by the mass elements and center-mass of the spinning rotor.
The action of these torques manifests itself in the resistance and precession torques of the gyroscopic devices.
These inertial torques act simultaneously and interdependently around two axes and represent the fundamental principles of the gyroscope theory.
The new inertial torques enable deriving mathematical models for the motions of well-known top that is the simplest form of gyroscopic devices.
The novelty of the work is mathematical models for the motions of the top based on action of eight inertial forces acting around its two axes.
The obtained mathematical models for the top nutation and self-stabilization are represented in terms of machine dynamics and vibration analysis.
The new analytical approach for motions of the well-balanced top and top with eccentricity of the center-mass definitely responds to the practical results.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Usubamatov, Ryspek& Omorova, Albina. 2018. A Mathematical Model for Top Nutation Based on Inertial Forces of Distributed Masses. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1208224
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Usubamatov, Ryspek& Omorova, Albina. A Mathematical Model for Top Nutation Based on Inertial Forces of Distributed Masses. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1208224
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Usubamatov, Ryspek& Omorova, Albina. A Mathematical Model for Top Nutation Based on Inertial Forces of Distributed Masses. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1208224
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1208224
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