Several interesting Poisson and generalized complex structures admit a description in terms of a symplectic structure on a Lie algebroid. In this talk we discuss how to construct $\mathcal{A}$-symplectic structures for a Lie algebroid $\mathcal{A}$ by adapting Gompf-Thurston techniques to Lie algebroid morphisms. As an application we obtain both log-symplectic and stable generalized complex structures out of log-symplectic structures. In particular we define a class of maps called boundary Lefschetz fibrations and show they equip their total space with a stable generalized complex structure. This is based on joint work with Gil Cavalcanti.