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Development of Linkage Analysis and Synthesis Software
Jiao Zhang
Caterpillar, Inc.
Linkages are widely used in agricultural and construction machinery as well as in all
kinds of industrial equipment. Design of different linkages becomes more and more
challenging in today's market because customers always expect similar-size machines that
can carry more load, move faster, and reach further. To optimize the linkage-development
process, the application of more advanced computational technology and design philosophy
is essential and inevitable. Symbolic analysis, in addition to numerical analysis,
provides us with the most powerful tool for product development in the linkage-design
area. In symbolic analysis, the properties of the linkage system and its design
specifications in all areas of kinematics, statics, and dynamics may be represented as a
set of symbolic formulas and equations that are the functions of design and operational
parameters. With full capability to manipulate formulas and equations symbolically, we may
conduct linkage-performance analysis, comprehensive sensitivity study, and design
synthesis much faster and easier. Recently, a SNAS (Symbolic/Numeric Analysis/Synthesis)
package has been developed at Caterpillar for excavator linkage design and analysis. The
package is written in Mathematica to take full advantage of its computational and
graphical capability as well as its powerful notebook front end interface. The package
includes several modules for deriving linkage-system equations, supporting
users' interactive inputs, conducting analysis and synthesis, and preparing
engineering reports. The package, with the notebook front end, is very user-friendly and
self-explanatory. It may be used as a tutorial, engineering, marketing, or documentation
tool. The application of symbolic analysis results in great progress in the area of
engineering computation. It will help engineers explore and understand their system
rapidly and comprehensively. This presentation will discuss the general philosophy and
approaches of the application as well as the strategies in programming. The SNAS package
for the excavator linkage design and analysis will also be demonstrated.
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