Modeshape

Mode shapes in physics are specific patterns of vibration that a structure or system can exhibit when it oscillates at its natural frequencies. These patterns describe the relative displacement of different parts of the system during vibration.

In applied mathematics, mode shapes are a manifestation of eigenvectors which describe the relative displacement of two or more elements in a mechanical system {{cite web|url=http://lpsa.swarthmore.edu/MtrxVibe/Anims/VibrationAnimations.html|title=Vibration Animations|first=Erik Cheever, Swarthmore|last=College|website=lpsa.swarthmore.edu}} or wave front.{{cite journal|url=http://stacks.iop.org/1612-202X/14/i=1/a=015102|title=Long-term mode shape degradation in large mode area Yb-doped pulsed fiber amplifiers|first1=K. K.|last1=Bobkov|first2=M. M.|last2=Bubnov|first3=S. S.|last3=Aleshkina|first4=M. E.|last4=Likhachev|date=22 May 2018|journal=Laser Physics Letters|volume=14|issue=1|pages=015102|via=Institute of Physics|doi=10.1088/1612-202X/14/1/015102|s2cid=125527048 }}

A mode shape is a deflection pattern related to a particular natural frequency and represents the relative displacement of all parts of a structure for that particular mode.