This study presents a novel profile tuning methodology for suppressing Residual Vibration (RV) in mechanical systems by integrating ramp functions with odd Fourier series harmonics. The suggested method offers superior control over vibration characteristics, in contrast to traditional methods that depend on even-harmonic profiles. The ramp-plus-Fourier harmonics motion tuning technique enables unrestricted motion time for a prescribed lift, making it suitable for systems with flexible actuator inputs. Modified conventional profiles are designed to reduce high-order harmonics and resonance effects, which makes RV suppression better at different speeds. When compared to standard approaches, adjusted Freudenstein and Gutman cam profiles with odd harmonics show significantly better performance. Simulations show that the proposed profiles work better than classical designs and Zero Vibration (ZV) input shaping techniques. They also show that they can greatly reduce RV for user-defined travel times. This method offers an adaptable approach to achieve RV-free mobility in mechanical systems that require precise control.