<p>This paper presents a vibrational analysis of a thin plate, simply supported on all four edges, to identify the impact force. The plate is made of a composite material—concrete reinforced with steel fibers. Anisotropy is considered to compare two approaches: The Huber approach and our own, focusing on the element representing shear stiffness. The effectiveness of the Tikhonov and TGSVD methods is examined in reconstructing multiple and successive impacts. Successive impact identification is analyzed with respect to fiber orientation, sensor positioning, and the influence of measurement noise. The study develops a successful method for analyzing the orientation of steel fibers in the three selected directions, particularly with respect to the primary shear direction. Quantitative results demonstrate that our method significantly improves reconstruction accuracy compared to the Huber approach, achieving relative errors as low as 2.96 × 10^⁻2% using TGSVD and 4.05 × 10^⁻2% using Tikhonov regularization, whereas Huber’s method yields errors of 6.66 × 10^⁻2% with TGSVD and 4.73 × 10^⁻2% with Tikhonov under similar conditions, particularly regarding the effect of shear stiffness in the primary direction. The study confirms that Tikhonov and TGSVD methods effectively stabilize inverse reconstructions, enabling reliable impact force identification even in the presence of noise and anisotropic material behavior.</p>