Abstract
A preliminary approach to calculate hydromount elastic shell dynamic stiffness using finite difference method is presented in the article. This approach is necessary to calculate and assess maximum shear deformations of hydromount rubber shell needed to further determine the hydromount stiffness and damping coefficients at resonance frequencies. For this reason, finite difference method is applied when assessing maximum shear deformations of hydromount rubber shell, caused by variable loads. It was found that using reduced length and reduced arc dimensions of cut-out hydromount shell segment the equivalent stiffness can be determined. The novelty of the proposed method lies in the possibility of a quick and fairly accurate numerical calculation of the rubber shell stiffness using the values of the rubber modulus of elasticity, its permissible shear stress, and the nominal load (weight). This approach can be used to determine and optimize the geometric dimensions of the mounts shells with a given stiffness.
Highlights
There are certain limitations, with respect to developing vibration insulation of traditional vibration isolators, hydromounts falling into this category as well
A more accurate rubber shell stiffness calculation is necessary. Such calculation is based on finite difference method (FDM) [2] allowing to carry out a detailed analysis of on-load rubber shell behaviour
Comparison of the hydromount mechanical loading results with the results of numerical calculations made it possible to conclude that the proposed method for numerically calculating of the hydromounts stiffness coefficient has a sufficiently high accuracy and is recommended for determining the geometric dimensions of their rubber shells
Summary
There are certain limitations, with respect to developing vibration insulation of traditional vibration isolators, hydromounts falling into this category as well. The object’s mass characteristics are stated in its technical passport while the power unit’s vertical oscillations eigenfrequency is set within the range of f = 8 ÷ 10 Hz [3, 6,7,8] Basing on this parameter the necessary dynamic stiffness at low frequency range can be determined (lower than f ):. Where c – rubber cube stiffness, N/m; E – elasticity modulus, МPа; G = m g – vibration source weight, N, g – gravity acceleration; [σ] – rubber shell admissible stress, Pa; a – wall length, m. A more accurate rubber shell stiffness calculation is necessary Such calculation is based on finite difference method (FDM) [2] allowing to carry out a detailed analysis of on-load rubber shell behaviour. This method comprises rubber shell stress and strain calculation considering rubber low compressibility factor
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