By adopting the fully quantal triaxial particle-rotor model, the candidate chiral doublet bands in odd-A nuclei Rh103 and Rh105 with πg9/2-1-νh11/22 configuration are studied. For the doublet bands in both nuclei, agreement is excellent for the observed energies over the entire spin range and B(M1)/B(E2) at higher spin range. The evolution of the chiral geometry with angular momentum is discussed in detail by using the angular momentum components and their probability distributions. Chirality is found to change from chiral vibration to nearly static chirality at spin I=37/2 and back to another type of chiral vibration at higher spin. The influence of the triaxial deformation γ is also studied.