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Dynamic balancing of linkages by algebraic methods

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Dynamic balancing of linkages by algebraic methods

Brian Moore

Johannes-Kepler University Linz, Austria
Research Institute for Symbolic Computation

 

Abstract
A mechanism is statically balanced if, for any motion, it does not exert
forces on the base. Moreover, if it does not exert torques on the base, the
mechanism is said to be dynamically balanced. In 1969, Berkof and Lowen
showed that in some cases, it is possible to balance mechanisms without
adding additional components, simply by choosing the design parameters
(i.e. length, mass, centre of mass, inertia) in an appropriate way. For the
simplest linkages, some solutions were found but no complete characterization
was given.
The aim of the thesis is to present a new systematic approach to obtain
such complete classifications for 1 degree of freedom linkages. The method is
based on the use of complex variables to model the kinematics of the mechanism.
The static and dynamic balancing constraints are written as algebraic
equations over complex variables and joint angular velocities. After elimination
of the joint angular velocity variables, the problem is formulated as
a problem of factorisation of Laurent polynomials. Using computer algebra,
necessary and sufficient conditions can be derived.
Using this approach, a classification of all possible statically and dynamically
balanced planar four-bar mechanisms is given. Sufficient and necessary
conditions for static balancing of spherical linkages is also described and a
formal proof of the non-existence of dynamically balanced spherical linkage
is given. Finally, conditions for the static balancing of Bennett linkages are
described.

 


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Dynamic balancing of linkages by algebraic methods

کتاب لاتین GEOTECHNICAL INVESTIGATION METHODS (روشهای بررسی ژئوتکنیکی)

اختصاصی از اینو دیدی کتاب لاتین GEOTECHNICAL INVESTIGATION METHODS (روشهای بررسی ژئوتکنیکی) دانلود با لینک مستقیم و پر سرعت .

کتاب لاتین GEOTECHNICAL INVESTIGATION METHODS (روشهای بررسی ژئوتکنیکی)


کتاب لاتین GEOTECHNICAL INVESTIGATION METHODS (روشهای بررسی ژئوتکنیکی)

این فایل حاوی کتاب لاتین روشهای بررسی ژئوتکنیکی- راهنمای گسترده برای مهندسین ژئوتکنیک (GEOTECHNICAL INVESTIGATION METHODS- A Field Guide for Geotechnical Engineers) می باشد که به صورت فرمت PDF در اختیار شما عزیزان قرار گرفته است، در صورت تمایل می توانید این محصول را از فروشگاه خریداری و دانلود نمایید.

 

 

 

- عنوان:                       GEOTECHNICAL INVESTIGATION METHODS 
- نویسنده:                    Roy E. Hunt, P.E., P.G
- سال انتشار:               2007
- تعداد صفحات:             352
- زبان:                          انگلیسی
- فرمت فایل:                 PDF

 


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کتاب لاتین GEOTECHNICAL INVESTIGATION METHODS (روشهای بررسی ژئوتکنیکی)

کتاب Experimental Research Methods in Orthopedics and Trauma زبان اصلی

اختصاصی از اینو دیدی کتاب Experimental Research Methods in Orthopedics and Trauma زبان اصلی دانلود با لینک مستقیم و پر سرعت .

کتاب Experimental Research Methods in Orthopedics and Trauma زبان اصلی


کتاب Experimental Research Methods in Orthopedics and Trauma زبان اصلی

 کتاب Experimental Research Methods in Orthopedics and Trauma زبان اصلی

From bioinformatics to nanotechnology, advances in basic research ultimately drive advances in clinical care. This book provides a comprehensive summary of all current research methodologies for translational and pre-clinical studies in biomechanics and orthopedic trauma surgery. With this "roadmap" at hand, specialists and trainees will have the tools to conduct
high-quality experimental research in any area of musculoskeletal science, with a solid understanding of how the findings can be applied in patient care.

 

 حجم فایل: 21 مگابایت


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کتاب Experimental Research Methods in Orthopedics and Trauma زبان اصلی