Inspiration is useful for exploration and discovery of new solution
spaces. Systems in natural and artificial worlds and their functionality
are seen as rich sources of inspiration for idea generation. However,
unlike in the artificial domain where existing systems are often used for
inspiration, those from the natural domain are rarely used in a systematic
way for this purpose. Analogy is long regarded as a powerful means for
inspiring novel idea generation. One aim of the work reported here is to
initiate similar work in the area of systematic biomimetics for product
development, so that inspiration from both natural and artificial worlds
can be used systematically to help develop novel, analogical ideas for
solving design problems. A generic model for representing causality of
natural and artificial systems has been developed, and used to structure
information in a database of systems from both the domains. These are
implemented in a piece of software for automated analogical search of
relevant ideas from the databases to solve a given problem. Preliminary
experiments at validating the software indicate substantial potential for
the approach.
The equations of motion of a deploying solar array are derived using Lagrange's method and solved numerically. With increase in the number of panels, the mathematical modelling becomes complicated, invo1ving the derivation of lengthy equations which can be error prone. A matrix approach has been adopted for automatic derivation of lengthy equations of motion. This facilitates the accommodation of n panel formulation by increasing the number of rows and columns. The complexity in derivation of the air drag and damper are discussed here. NOTATION A p projected area (m 2 ) B r width of the panel (m) c prerotation angle of the torsion springs (rad) C d drag coef cient i, j subscripts de ning the yoke and the panels 1 4 …i; j † 4 n I mass moment of inertia (kg m 2 ) K stiffness of the spring (N m/rad) K c stiffness of the Closed Control Loop (CCL) springs (N/m) ‰KŠ generalized stiffness matrix K T stiffness of the torsion spring at each hinge line (N m/rad) l length of the yoke and panels (m) L Lagrangian …T ¡ U † m mass of the yoke and panels (kg) ‰M Š generalized inertia matrix n number of panels ‰N Š Coriolis/centripetal acceleration matrix q generalized coordinates (rad) _ q q rst derivative of q with respect to time (rad/s) q q second derivative of q with respect to time (rad/s 2 ) fQ i g generalized force vector (N m) R p radius of the CCL pulley (m) t time (s) T total kinetic energy of the system (N m) U total potential energy of the system (N m) U c potential energy of the CCL pulley (N m) v system velocities (m/s) x distance from the hinge line to the elemental strip (m) dW total virtual work (N m) r density of air (kg/m 3 )
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