In the application of sound design in automobiles, low-frequency sound levels lead to excitement during driving, especially while accelerating. However, there are several problems associated with increasing low-frequency sound levels of engine components. For example, a booming sound is generated that causes vibration. It is also practically difficult to generate heavy bass engine sounds in the cabin. Hence, in this study, we propose a new method without involving the actual generation of low-frequency sounds. We consider the application of distortion products in the auditory system of the cochlea. To apply distortion products to an accelerating engine, we investigate the effect of distortion products by using chirping sounds. As a result, we suggest the possibility of synthesizing a low-frequency sound component by using distortion products inside a cochlea. This method leads to new avenues of research for sound design.