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Translation, Editing/proofreading, Copywriting
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Specializes in:
Physics
Materials (Plastics, Ceramics, etc.)
Also works in:
Music
Mathematics & Statistics
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Sample translations submitted: 1
English to Russian: Kinematic Analysis of the TSAI-3UPU Parallel Manipulator using Algebraic Methods General field: Science
Source text - English From each matrix Ti we obtain a parametrization of a subset
of S depending on four parameters. This subset essentially
describes the motion capability of one limb. The final
step is then to eliminate from each parametrization the
corresponding four parameters to obtain equations which
contain only the Study parameters and, of course, the design
and motion parameters d1, d2, d3, h1 and h2. This can
be achieved easily by using the linear implicitization algorithm
(LIA) published in [9]. This algorithm is a method to find all equations of given degree which are fulfilled by a
parametrization like (5).
Because the kinematic chain of each limb has four degrees
of freedom, represented by the four parameters in (5), the
elimination will result in two constraint equations and the
constraint equation S. Each of the three eliminations yields
equation (2) and two other quadratic equations, i.e. all together
there are seven equations in P^7 whose solutions describe
all possible poses of the manipulator, given that (3) is
fulfilled. This result was checked by performing the elimination
with other methods and it can be said that definitely
not more than these seven equations are necessary to describe
the motion capabilities of the TSAI manipulator.
Translation - Russian Из каждой матрицы –Ti мы получаем параметризацию подмножества S, зависящую от 4 параметров. Это подмножество, по существу, описывает возможности движения одного лимба. Последний шаг – удаление из каждой параметризации соответствующих 4 параметров для получения уравнений, содержащих только Стади-параметры и, конечно, расчетные величины и параметры движения d1, d2, d3, h1 и h2. Это может быть достигнуто с использованием LIA, опубликованном в [9]. Этот алгоритм является методом поиска всех уравнений данной степени, дополненных параметризацией вида (5).
Поскольку кинематическая цепь каждого лимба имеет четыре степени свободы, представленных четырьмя параметрами в (5), исключение даст результатом два уравнения связи и уравнение связи S. Каждое из трех исключений содержит уравнение (2) и два других квадратных уравнения, т.е. вместе получается 7 уравнений в P^7, решения которых описывают се возможные позиции манипулятора, при выполнении условия (3). Этот результат был проверен путем проведения исключения другими методами, и можно с уверенностью говорить, что больше 7 уравнений не требуется для описания способностей к передвижению манипулятора TSAI.
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Years of experience: 5. Registered at ProZ.com: Jun 2015.
Adobe Acrobat, DejaVu, Microsoft Excel, Microsoft Word
Bio
While working in theoretical segment of modern physics (namely condensed matter/superconductivity/related nanomaterials) there is strong need in cycling through large amount of papers and articles, and a considerable number of them must be read thoroughly. If the material is important enough, a translation is required, which I'm readily willing to do in time. Also interested in pharmacy, especially combining different natural components into new effective BAAs. This one I'm not so proficient with at the moment but willing to improve a lot.
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