![](/images/graphics-bg.png)
Adaptive Step-Size Control for Dynamic Relaxation Using Continuous Kinetic Damping
المؤلفون المشاركون
Yoo, Wan-Suk
Jung, Samuel
Kim, Tae-Yun
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-9، 9ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-10-22
دولة النشر
مصر
عدد الصفحات
9
التخصصات الرئيسية
الملخص EN
Dynamic relaxation (DR) is a widely used numerical method to determine the static equilibrium of a dynamic system.
However, it is difficult to apply conventional DR methods to nonlinear models because they require estimation of a stiffness matrix of the model.
To resolve the forementioned problem, a new dynamic relaxation method using continuous kinetic damping (CKDR) was proposed in previous research.
The CKDR method does not require any model parameters including the stiffness matrix, and it possesses absolute stability and a second-order convergence rate.
However, the convergence rate is proportional to square of the step size, and this may result in a low convergence rate if the selected step size is excessively small.
This problem leads to difficulties in the practical use of CKDR.
Thus, an adaptive step-size method is proposed in this paper to control the convergence rate of CKDR.
The proposed method estimates natural frequency of the model and determines adaptive step size.
Static equilibrium simulations were performed for three different models to verify the method.
The results revealed that the computational cost of CKDR with a variable step size was very efficient when compared to fixed step sizes and that the convergence rate was also controlled as intended.
In addition, the lowest natural frequencies of models in static equilibrium were accurately estimated.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Jung, Samuel& Kim, Tae-Yun& Yoo, Wan-Suk. 2018. Adaptive Step-Size Control for Dynamic Relaxation Using Continuous Kinetic Damping. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207271
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Jung, Samuel…[et al.]. Adaptive Step-Size Control for Dynamic Relaxation Using Continuous Kinetic Damping. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1207271
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Jung, Samuel& Kim, Tae-Yun& Yoo, Wan-Suk. Adaptive Step-Size Control for Dynamic Relaxation Using Continuous Kinetic Damping. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207271
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1207271
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
![](/images/ebook-kashef.png)
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
![](/images/kashef-image.png)