کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7175575 | 1466553 | 2017 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Partial linear integrals of the Poincaré-Zhukovskii equations (the general case)
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
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چکیده انگلیسی
The existence conditions for a linear invariant relation of the Poincaré-Zhukovskii equations in the general case when the matrix of the cross terms of the Hamiltonian can be asymmetric are obtained. A new scalar form of the equations is indicated, and they are reduced to the Riccati equation in the case of motion with a linear invariant relation. A particular solution of the Riccati equation, which defines a three-parameter family of periodic solutions of the Poincaré-Zhukovskii equations, is presented. A four-parameter family of solutions of the Poincaré-Zhukovskii equations, each of which exponentially rapidly approaches a corresponding periodic solution with time, is constructed. The conditions for precessional motion with a linear invariant relation are found.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Applied Mathematics and Mechanics - Volume 81, Issue 4, 2017, Pages 270-285
Journal: Journal of Applied Mathematics and Mechanics - Volume 81, Issue 4, 2017, Pages 270-285
نویسندگان
V. Yu. Ol'shanskii,