Muhandislik uchun bepul vosita

Tabiiy chastota kalkulyatori

Massa-prujina tizimining tabiiy chastotasini hisoblang. Chastotani Gts da, burchak chastotasini, davrni, ekvivalent AYM ni va statik og'ishni olish uchun massa va prujina qattiqligini kiriting.

Mass-Spring 1-DOF Undamped
Quick presets

Results

Tabiiy Chastota
Burchak chastotasi (ωₙ)
Period (T)
Equivalent RPM
Statik egilish (δ_static)

Massa-Prujina Tizimining Tabiiy Chastotasi

Sönümlenmagan bir erkinlik darajali massa-prujina tizimining tabiiy chastotasi:

  • k — prujina qattiqligi (N/m). N/mm da berilgan bo'lsa, 1000 ga ko'paytiring.
  • m — mass (kg)

Burchak Chastotasi

Davr va Statik Og'ish

Where g = 9.81 m/s² va k N/mm da bo'lsa, og'ish natijasi mm da chiqadi.

Amaliy Misol

Misol — Prujinali tayanch ustidagi mashina

Given: Machine mass = 150 kg, Total spring stiffness k = 300 N/mm

k in N/m = 300 × 1000 = 300,000 N/m

f_n = (1/2π) × √(300,000/150) = (1/6.2832) × 44.72 = 7.12 Hz

ω_n = 2π × 7.12 = 44.7 rad/s

T = 1/7.12 = 0.140 s

Equivalent RPM = 7.12 × 60 = 427 RPM

δ_static = 150 × 9.81 / 300,000 × 1000 = 4.9 mm

⚠️ Note: Rezonansdan qochish uchun ish tezligi tabiiy chastotadan kamida 20–30% uzoqda bo'lishiga ishonch hosil qiling. Agar ish rezonansga yaqin bo'lsa, sönümlash qo'shing yoki qattiqlik/massani o'zgartiring.

Vibromera — Vibration Diagnostics & Balancing Equipment
50 dan ortiq mamlakatda qo'llaniladigan professional portativ balansirovka qurilmalari, tebranish analizatorlari va holat monitoring tizimlari. Rezonans muammolarini aniqlang va rotorlarni joyida balansirovka qiling.
Learn More
Categories:

WhatsApp
Balanset-1A · €1975Ask engineer