<p>Accurately predicting the force generated by hydraulic dampers is challenging because oil compressibility, chamber interactions, and orifice-induced losses couple in a strongly nonlinear manner. This study develops an algebraic model for nominal damping force that accounts for oil compressibility and flow distribution. Physically interpretable correction coefficients for flow loss and flow distribution are introduced within the algebraic framework. A high-fidelity MATLAB/Simulink hydraulic model was developed to capture the compressible behavior of multiphase oil in the damper chambers. With Bernoulli-based orifice relations and a pressure-dependent gas–liquid oil-property description, the model resolves flow loss and flow distribution through the damping orifices. Multi-condition simulations were conducted to investigate the governing trends of orifice flow loss and flow distribution. Using extensive simulation data, the correction coefficients were regressed in power-law and piecewise polynomial forms for fast evaluation. This enables efficient algebraic computation of the nominal damping force, accounting for compressibility and flow-distribution effects, achieving high accuracy at low cost. At ambient temperature, nominal damping-force tests were conducted for 42 conditions over <i>v</i>_n = 0.008–0.40&#xa0;m/s under multiple damping-orifice diameters, and the relative error between predicted and measured forces remained below 5%.</p>