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We derive photometric, structural and dynamical evolution-related parametersof 11 nearby open clusters with ages in the range 70 Myr to 7 Gyr and masses inthe range $\approx400$ \ms to $\approx5 300$ \ms. We search for relations ofstructural and evolutionary parameters with age and Galactocentric distance.The main results for the present sample are: {\em (i)} cluster size correlatesboth with age and Galactocentric distance; {\em (ii)} because of size and massscaling, core and limiting radii, and core and overall mass correlate; {\em(iii)} massive ($\rm m\geq1 000$ \ms) and less-massive clusters follow separatecorrelation paths on the plane core radius and overall mass; {\em (iv)} MFslopes of massive clusters are restricted to a narrow range, while those of theless-massive ones distribute over a wider range. Core and overall MF flatteningis related to the ratio ($\tau$) of age to relaxation time. For large values of$\tau$ the effects of large-scale mass segregation and low-mass starsevaporation can be observed in the MFs. In this sense, $\tau$ appears tocharacterize the evolutionary state of the clusters. We conclude thatappreciable slope flattenings in the overall MFs of the less-massive clusterstake $\sim6$ times longer to occur than in the core, while in the massiveclusters they take a time $\sim13$ times longer. We investigate clusterparameters equivalent to those determining the fundamental plane ofellipticals. These parameters are: overall mass, projected mass density andcore radius. We conclude that in the present sample there is evidence of afundamental plane.Comment: 19 pages and 14 fig

Detailed analysis of open clusters: A mass function break and evidence of a fundamental plane