Modeling and Analysis of Multiple Attached Masses Tuning a Piezoelectric Cantilever Beam Resonant Frequency

Table 1

Element values of the 4 × 4 flexibility matrix a.

n	1	2	3	4
a1n	343/1536	25/192	27/512	5/768
a2n	25/192	125/1536	9/256	7/1536
a3n	27/512	9/256	9/512	1/354
a4n	5/768	7/1536	1/384	1/1536

All the values need to be multiplied by l³/EI.