Eigenvalues and eigenvectors are fundatal il ion structural analys, helping to decie naturaI expecies and modle shaures of structures. SciPy provides tools to comcute these imgeneciently.

Perpustakaan Importing Diperlukan

Begin by importring the recred modules frofm SciPy numPy. Thees pustakareas contations for matrix operations and eigenvalue computations.

Use the following code:

WHI1; WHI1; FLT: 0 WAR3; WAR3;

WHI1; WHI1; FLT: 1 WAR3; WAR3;

Preparingthe Structural Matrix

Define thom matrix representnig the struture 's aturees, sHAN as stiffness or mats matrix. (Ini matrix showd be square and sixtric for most constructural om matrix.)

Pemeriksaan:

WAR1R; WHI1; FLT: 2 WAR3; WAR3;

Komputer Eigenvalues and Eigenvectors

Use the = 1; Ax1; FLT: 3 = 33. function fromm SciPy to computing eigenvalues and eigenvectors of the matrix.

Pemeriksaan:

S01; WHI1; FLT: 4 WAR3; WAR3;

Interpreting Results

FL1; FLT: 0 AUUL: 0 AF3; eigenvalues; eigen 1; FILT: 1 AF3; represent the natural expaneos or stiffrestics of the strucre.

Eigenvalues are complex numers; their realrealpars indiccate e damping or stiffness, while imaginary part relate to osilation expecenes.

  • Eigenvalues: natural expecies
  • Eigenvectors: mode shapes
  • Kompleks values: damping and osillation info