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This book reports on an original approach to problems of loci. It
shows how the theory of mechanisms can be used to address the locus
problem. It describes the study of different loci, with an emphasis
on those of triangle and quadrilateral, but not limited to them.
Thanks to a number of original drawings, the book helps to
visualize different type of loci, which can be treated as curves,
and shows how to create new ones, including some aesthetic ones, by
changing some parameters of the equivalent mechanisms. Further, the
book includes a theoretical discussion on the synthesis of
mechanisms, giving some important insights into the correlation
between the generation of trajectories by mechanisms and the
synthesis of those mechanisms when the trajectory is given, and
presenting approximate solutions to this problem. Based on the
authors' many years of research and on their extensive knowledge
concerning the theory of mechanisms, and bridging between geometry
and mechanics, this book offers a unique guide to mechanical
engineers and engineering designers, mathematicians, as well as
industrial and graphic designers, and students in the
above-mentioned fields alike.
This book focuses on important mathematical considerations in
describing the synthesis of original mechanisms for generating
curves. The synthesis is manual and not based on the use of
computer tools. Kinematics is applied to confirm the drawing of the
curves, and the closed loop method, and in some cases the distances
method, is applied in this phase. The book provides all the notions
of structure and kinematics that are necessary to calculate the
mechanisms and also analyzes other kinematic possibilities of the
created mechanisms. Offering a concise, yet self-contained guide to
the mathematical fundamentals for mechanisms of curve generation,
together with a useful collection of mechanisms exercises, the book
is intended for students learning about mechanism kinematics, as
well as engineers dealing with mechanism design and analysis. It is
based on the authors' many years of research, which has been
published in different books and journals, mainly, but not
exclusively, in Romanian.
This book reports on an original approach to problems of loci. It
shows how the theory of mechanisms can be used to address the locus
problem. It describes the study of different loci, with an emphasis
on those of triangle and quadrilateral, but not limited to them.
Thanks to a number of original drawings, the book helps to
visualize different type of loci, which can be treated as curves,
and shows how to create new ones, including some aesthetic ones, by
changing some parameters of the equivalent mechanisms. Further, the
book includes a theoretical discussion on the synthesis of
mechanisms, giving some important insights into the correlation
between the generation of trajectories by mechanisms and the
synthesis of those mechanisms when the trajectory is given, and
presenting approximate solutions to this problem. Based on the
authors' many years of research and on their extensive knowledge
concerning the theory of mechanisms, and bridging between geometry
and mechanics, this book offers a unique guide to mechanical
engineers and engineering designers, mathematicians, as well as
industrial and graphic designers, and students in the
above-mentioned fields alike.
This book focuses on important mathematical considerations in
describing the synthesis of original mechanisms for generating
curves. The synthesis is manual and not based on the use of
computer tools. Kinematics is applied to confirm the drawing of the
curves, and the closed loop method, and in some cases the distances
method, is applied in this phase. The book provides all the notions
of structure and kinematics that are necessary to calculate the
mechanisms and also analyzes other kinematic possibilities of the
created mechanisms. Offering a concise, yet self-contained guide to
the mathematical fundamentals for mechanisms of curve generation,
together with a useful collection of mechanisms exercises, the book
is intended for students learning about mechanism kinematics, as
well as engineers dealing with mechanism design and analysis. It is
based on the authors' many years of research, which has been
published in different books and journals, mainly, but not
exclusively, in Romanian.
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