ENGINEERING CALCULATORS
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Engineering calculators (Beta)
Estimate vertical base-motion transmission and static sag using separate static and dynamic mount stiffnesses.
Click the grid to add ordered vertices. Edit coordinates in mm; separate holes with a blank line. The last vertex closes to the first automatically.
Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.
Reference calculation only. Results do not certify suitability for an actual design or its safety.
Inputs: select a blue symbol to edit Results: red-orange values and lines
3D shows an illustrative extrusion. Its display length does not enter the section calculations. Edit dimensions in 2D.
Ks=n ks; Kd=n kd; fn=√(Kd/m)/(2π); δs=mg/Ks; r=f/fn; D=√[(1−r²)²+(2ζr)²]; X/Y=√[1+(2ζr)²]/D; Z/Y=r²/D.
Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.
ReferenceEquations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.
Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.
Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.
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床が上下に振動する場合の伝達率と沈み込みを、静的・動的ばね定数を分けて参考計算します。
Ks=n ks; Kd=n kd; fn=√(Kd/m)/(2π); δs=mg/Ks; r=f/fn; D=√[(1−r²)²+(2ζr)²]; X/Y=√[1+(2ζr)²]/D; Z/Y=r²/D.
上下方向の線形1自由度・床変位による正弦加振・定常応答の参考モデルです。剛体機器を同じゴムが並列に等荷重で支持し、ピッチング・ローリング・横振動・衝撃は含みません。ksは荷重域に適合する静的値、kdとζは実際の荷重・周波数・振幅・温度に適合する動的値を指定します。硬度や材料名だけから推定せず、静的ばね定数をそのまま動的値として使いません。ζは系の等価粘性減衰比で、損失係数をそのまま代入しません。0≤ζ≤1、f≥0、Y≥0です。共振付近の無減衰モデルは有限値を計算しません。Y=0でも伝達率は系の特性として表示し、X・Zは0です。δsは近似値で、クリープ、取付接触、引張・座屈、許容変位・荷重、寿命は別途確認します。Z≥δsでは片側圧縮支持の接触が失われる可能性があり、このモデルだけでは選定できません。入力例やTlimは製品の保証値・規格基準ではありません。
Estimate vertical base-motion transmission and static sag using separate static and dynamic mount stiffnesses.
Ks=n ks; Kd=n kd; fn=√(Kd/m)/(2π); δs=mg/Ks; r=f/fn; D=√[(1−r²)²+(2ζr)²]; X/Y=√[1+(2ζr)²]/D; Z/Y=r²/D.
Reference linear vertical single-degree-of-freedom steady sinusoidal base-excitation model. Identical parallel mounts equally support a rigid machine. Pitch, roll, lateral motion and impacts are excluded. Establish static ks for the load range and dynamic kd/ζ for actual preload, frequency, amplitude and temperature. Do not infer stiffness from hardness/material name or substitute static stiffness for dynamic stiffness. ζ is equivalent viscous damping, not an unconverted material loss factor. Require 0≤ζ≤1, f≥0 and Y≥0. No finite response is reported at near-undamped resonance. For Y=0, transmissibility describes system response while X=Z=0. Sag is approximate; check creep, contact, tensile/buckling behaviour, allowable travel/load and life separately. If Z≥δs, compression-only contact may be lost and this model cannot establish selection. Example values and Tlim are not guaranteed ratings or code limits.
説明用の別モデルです。適用条件を確認してください。数値は自動転記しません。
A separate explanatory model. Check its assumptions; values are not transferred.
