Using two co-ordinate transformations and the method of averaging, the system dynamics can be modelled by a set of 2Nfirst order, internally resonant, autonomous differential equations.
Second order mutliple-scales approximations, determined by using two different time co-ordinates, are compared.
The configuration of the elastic components is identified by using two sets of generalized co-ordinates, reference and elastic co-ordinates.
The title problem is tackled by using a simple polynomial co-ordinate function and the Rayleigh-Schmidt method.
Figure 6 shows the 2D x′-y′ and x-y Cartesian co-ordinates, and the angle between the two co-ordinate systems is β.
The plate is defined by four curved boundaries using eight points and natural co-ordinates to map the geometry.
These two datasets are usually produced using different technologies, co-ordinate systems and datums.
The proposed single level controller is designed using a nonlinear co-ordinate transformation which leads to a simple three step navigation design procedure.
In fact, it showed how extensively Twitter was used to co-ordinate a movement by citizens to clean the streets after the disorder.
A command centre financed by the Bill and Melinda Gates Foundation to fight polio was used to co-ordinate the Ebola response.
