This video lesson shows the mathematics behind expressing displacement in a dynamic system as a linear combination of mode shapes. A comparison of the full harmonic equations with the mode superposition equations shows the latter to be less computationally intensive without sacrificing accuracy. This lesson is part of the Ansys Innovation Course: Mode Superposition Method. To access this and all of our free, online courses — featuring additional videos, quizzes and handouts — visit Ansys Innovation Courses at https://www.ansys.com/courses.