The document lists the natural frequencies and mode shapes obtained from a program that analyzed 10 blocks. The natural frequencies are given for each of the 10 blocks, ranging from 0.1230 to 0.8553. The mode shapes are provided as 10 vectors that describe the behavior of each block at the different natural frequencies.

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Natural Frequencies and Mode Shapes
To obtain the natural frequencies and mode shapes the following program was setup in a m-script file:
Natural Frequencies obtained:

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Block 1 0.1230
Block 2 0.2434
Block 3 0.3590
Block 4 0.4672
Block 5 0.5659
Block 6 0.6530
Block 7 0.7269
Block 8 0.7860
Block 9 0.8291
Block 10 0.8553
As obtained in program: With variable name nat_freq, all the natural frequencies of the 10 blocks are stored
it in matrix form. It is obtained in the program as follows:
nat_freq =
Columns 1 through 9
0.1230 0.2434 0.3590 0.4672 0.5659 0.6530 0.7269 0.7860 0.8291
Column 10
0.8553
Mode Shapes:
For Vector 1: 0.0439 0.0842 0.1177 0.1416 0.1541 0.1541 0.1416 0.1177 0.0842 0.0439
For Vector 2: -0.0842 -0.1416 -0.1541 -0.1177 -0.0439 0.0439 0.1177 0.1541 0.1416 0.0842
For Vector 3: -0.1177 -0.1541 -0.0842 0.0439 0.1416 0.1416 0.0439 -0.0842 -0.1541 -0.1177
For Vector 4: 0.1416 0.1177 -0.0439 -0.1541 -0.0842 0.0842 0.1541 0.0439 -0.1177 -0.1416
For Vector 5: -0.1541 -0.0439 0.1416 0.0842 -0.1177 -0.1177 0.0842 0.1416 -0.0439 -0.1541
For Vector 6: 0.1541 -0.0439 -0.1416 0.0842 0.1177 -0.1177 -0.0842 0.1416 0.0439 -0.1541
For Vector 7: 0.1416 -0.1177 -0.0439 0.1541 -0.0842 -0.0842 0.1541 -0.0439 -0.1177 0.1416
For Vector 8: 0.1177 -0.1541 0.0842 0.0439 -0.1416 0.1416 -0.0439 -0.0842 0.1541 -0.1177
For Vector 9: -0.0842 0.1416 -0.1541 0.1177 -0.0439 -0.0439 0.1177 -0.1541 0.1416 -0.0842
For Vector 10: -0.0842 0.1416 -0.1541 0.1177 -0.0439 -0.0439 0.1177 -0.1541 0.1416 -0.0842