  We study integrability of generalized almost contact structures, and find
conditions under which the main associated maximal isotropic vector bundles
form Lie bialgebroids. These conditions differentiate the concept of
generalized contact structures from a counterpart of generalized complex
structures on odd-dimensional manifolds. We name the latter strong generalized
contact structures. Using a Boothby-Wang construction bridging symplectic
structures and contact structures, we find examples to demonstrate that, within
the category of generalized contact structures, classical contact structures
have non-trivial deformations. Using deformation theory of Lie bialgebroids, we
construct new families of strong generalized contact structures on the
three-dimensional Heisenberg group and its co-compact quotients.
