Muhandislik uchun bepul vosita
Yay kritik tezligi kalkulyatori
Spiralli siqish prujinasining kritik surging chastotasini hisoblang — buralma bo'ylab turg'un to'lqinlar hosil bo'lib surging yuzaga keladigan rezonans chastotasi.
Results
Surging chastotasi
Spiralli siqilish prujinasining kritik surge chastotasi (ikki uchi erkin chegara sharti, asosiy rejim):
- d — sim diametri (m)
- D — o'ram o'rtacha diametri (m)
- nₐ — number of active coils
- G — sim materialining siljish moduli (Pa)
- ρ — sim materiali zichligi (kg/m³)
Prujina qattiqligi
Prujina indeksi & Yukli holat chastotasi
Prujina indeksi C odatda amaliy prujina konstruktsiyalari uchun 3 dan 15 gacha bo'lishi kerak.
Amaliy Misol
Given: d = 5 mm, D = 30 mm, nₐ = 7, Spring steel (G = 79.3 GPa, ρ = 7850 kg/m³)
√(G / 2ρ) = √(79.3×10⁹ / (2 × 7850)) = 2247.4
f_surge = 0.005 / (2π × 7 × 0.030²) × 2247.4 = 283.9 Hz (17,032 RPM)
k = 79.3×10⁹ × 0.005⁴ / (8 × 0.030³ × 7) = 32.8 N/mm
C = D/d = 30/5 = 6.0 (yaxshi, 3–15 diapazonida)
f_loaded = 283.9 / 2 = 142.0 Hz
⚠️ Amaliy qoida: The surge frequency should be at least 13× the operating frequency for valve springs, and 15–20× for general industrial applications.
50+ mamlakatda qo'llaniladigan professional ko'chma balansirovka qurilmalari, tebranish analizatorlari va holat monitoringi tizimlari. Prujina rezonansini aniqlang va aylanma mashinalarni o'z joyida balansirovka qiling.
