NATURAL VIBRATIONS OF VISCOELASTIC ORTHOTROPIC PLATES WITH SUSPENDED MASSES
Keywords:
viscoelastic plate, orthotropy, suspended mass, complex frequency, relaxation kernel, energy dissipation, damping coefficient.Abstract
The paper studies natural vibrations of rectangular and circular orthotropic plates with lumped masses suspended on viscoelastic springs. The problem is solved using the freezing method, separation of variables, the Rayleigh–Ritz method, and the Gauss and Muller methods. It is shown that when the mass attached at the centre of the plate increases from 1 kg to 100 kg, the first natural frequency decreases by a factor of about 7, while the second and third frequencies remain practically unchanged.
References
Deformatsiyalanuvchan element orqali massa osilgan qovushqoq-elastik ortotrop plastinkalar xos tebranishlari masalasining matematik qo‘yilishi, yechish metodikasi va algoritmi ishlab chiqildi.
Markaziy massa birinchi xos chastotani keskin pasaytiradi (1 kg dan 100 kg gacha oshganda 7 marta), yuqori tartibli chastotalarga esa deyarli ta’sir qilmaydi.
Dissipativ bir jinsli bo‘lmagan tizimda chastotalar haqiqiy qismlari yaqinlashganda energiya dissipatsiyasi intensivlashadi. Bu effektdan prujinka bikrligini tanlash orqali tebranishlarni so‘ndirishda foydalanish mumkin.
Adabiyotlar
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