STAR collaboration observed a global spin alignment of $\phi$-mesons in Au+Au collisions using the data from the first phase of the RHIC Beam Energy Scan program (BES- I) [1]. This cannot be explained by conventional mechanisms but may be attributable to the influence of vector meson force fields. In these proceedings, we present new differential measurements of $\phi$-meson global spin alignment with respect to transverse momentum $(p_{T})$, centrality, and rapidity ($y$) using higher-statistics Au+Au data at $\sqrt{s_{\rm NN}}$ = 14.6 and 19.6 GeV from the BES-II program. These differential measurements can help understand the roles of the $\phi$-meson force field in nucleon and nuclear structure, in addition to the evolution of nuclear matter.