Hertz kontakt kuchlanishi nima?

Hertz kontakt kuchlanishi — ikki egri jism bir-biriga bosilganda paydo bo'ladigan mahalliy kuchlanish. Kontakt maydoni juda kichik bo'lib, maksimal bosim markazda kuzatiladi. Bu nazariya sharli podshipniklar, tishli uzatmalar va g'ildirak-rel interfeyslaridagi kabi elastik, muvofiq kelmaydigan kontaktlarga qo'llaniladi.

Sferalar uchun maksimal kontakt bosimini hisoblash formulasi qanday?

For two spheres: p_max = (1/π)·(6F·E*²/R*²)^(1/3), where E* is the combined elastic modulus and R* is the combined radius. The contact area is circular with radius a = (3FR*/(4E*))^(1/3).

Kombinatsiyalangan elastiklik moduli E* nima?

The combined (effective) elastic modulus accounts for both bodies: 1/E* = (1-ν₁²)/E₁ + (1-ν₂²)/E₂. It represents the combined elastic compliance of both contacting surfaces.

Hertz nazariyasi qachon qo'llaniladi?

Hertz nazariyasi quyidagi shartlarni taxmin qiladi: materialning elastik xulq-atvori, kontakt maydonining jism o'lchamlaridan ancha kichik bo'lishi, ishqalanishsiz kontakt, silliq yuzalar va muvofiq kelmaydigan geometriyalar. U plastik deformatsiya, qo'pol yuzalar yoki mos keladigan kontaktlarga qo'llanilmaydi.

Hertz kontakt kuchlanishi qayerlarda muhim ahamiyatga ega?

Dumalanuvchi element podshipniklari, tishli g'ildirak tishlari, kulachok-itargich tizimlari, g'ildirak-rel kontakti, chuqurlik sinovi va har qanday egri yuzalar bir-biriga bosadigan mashina elementlari. Kontakt charchoq (pittingi) ko'pincha Hertz kuchlanishi bilan boshqariladi.

Muhandislik uchun bepul vosita

Hertz kontakt kuchlanishi kalkulyatori

Sharsimon-sharsimon va silindrsimon-silindrsimon elastik kontakt uchun maksimal Hertz kontakt bosimini, kontakt maydonini va yaqinlashuvni hisoblang.

Sphere ContactSilindr kontakti#171

Contact Type

Radius R₁ (mm) — tekis yuz uchun ∞

Radius R₂ (mm) — tekis yuz uchun ∞, 0 = tekis

Force F (N)

E₁ (GPa)

ν₁ (Puasson nisbati)

E₂ (GPa)

ν₂ (Puasson nisbati)

Quick presets

Results

Maximum Contact Pressure p₀

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Kontakt radiusi / yarim kenglik a

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Combined E*

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Combined R*

—

Birlashtirilgan elastiklik moduli

Shar ustida shar

Silindr ustida silindr (parallel)

⚠️ Note: Enter R₂ = 0 for a flat surface (R₂ → ∞). Hertz theory assumes elastic contact, small contact area relative to body size, and frictionless surfaces.