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To understand the structure away from the stable line and to validate the existing nuclear structure model for exotic mass regions, we study systematically strongly-deformed, neutron-rich even-even and odd-neutron Zr isotopes with neutron number 61-66.We also investigated shape coexistence in 100Zr nucleus and vibrational bands in 114Ru.By using the projected shell model and triaxial projected shell model, the known experimental data can be well reproduced and side-bands are predicted.The influence of the high-j h11/2 neutron orbitals and g9/2 proton orbitals on the structure properties of the neutron-rich A=100 region is investigated.In addition, high-K positive and negative parity bands are presented and properties of the yrast line are discussed in detail.Our predictions may provide useful information for future experimental studies of neutron-rich nuclei in this mass region.