Miner 's Rule is a metodic used to estimate thee cumulative autigue damage in machinery subjected to varying stress cycles. It helps predict thee lifespan of condients by assessingg how different nailings contribute to material autigue over time.

Understanding Miner 's Rule

Miner 's Rule states that thee total damage actrated in a material is te sum of thee damage fractions caused by individual stress cycles. When thee sum reaches 1, thee material is expected to faill due to surigue.

Calculating Cumulative Damage

Te calculation impeves determing thae damage from each stress cycle using the S-N curve, which relates stress amplitee to te number of cycles to failure. Te damage for each cycle is calculated as:

CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; DLAS3; DLAS3e = n / N CLAS1; CLAS1; CLAS1; CLAS3; CLAS33;

kde je 1; fl1; flt: 0 fl3; fl1; fl1; fl1; flt: 1 fl3; fl3; is the number of cycles experienced at a specic stress level, and fl1; fl1; flt: 2 fl3; fl3; nill1; flt: 3 fl3; fl3; is the total number of cycles to fagure at that stress level.

Example Calculation

Suppose a concluent experiencess three different stress levels over its service life. Thee cycles and failure pointes are as follows:

  • Stress level 1: 10,000 cycles, N = 20,000
  • Stress level 2: 5,000 cycles, N = 10,000
  • Stress level 3: 2,000 cycles, N = 5,000

Te damage for each stress level is calculated as:

CLAS1; CLAS1; CLAS3; CLAS3; DLAS3; DLAS3e 1 = 10,000 / 20,000 = 0,5 CLAS1; CLAS1; CLAS1; CLAS3; CLAS3c;

CLAS1; CLAS1; CLAS3; CLAS3; DLAS3; DLAS3e 2 = 5,000 / 10,000 = 0,5 CLAS1; CLAS1; CLAS1; CLAS3; CLAS3c;

CLAS1; CLAS1; CLAS3; CLAS3; DLAS3; DLAS3e 3 = 2,000 / 5,000 = 0,4 CLAS1; CLAS1; CLAS1; CLAS3; CLAS3c;

Te total damage is te sum:

CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; TOTAL Damage = 0, 5 + 0, 5 + 0, 4 = 1, 4 CLAS1; CLAS1; CLAS3; CLAS3;

To je to, co je to za věc.