ENGINEERING CALCULATORS
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Engineering calculators (Beta)
Find natural frequency, damping ratio and forced-response amplitude of one degree of freedom.
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.
ωn = √(k/m), ζ = c/(2√(km)), X = F₀ / √((k − mω²)² + (cω)²)
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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1自由度の固有振動数・減衰比・強制振動の振幅を求めます。
選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。
ωn = √(k/m), ζ = c/(2√(km)), X = F₀ / √((k − mω²)² + (cω)²)
線形ばね・粘性減衰・1自由度で、力による正弦加振の定常応答です。床変位による加振・衝撃・非線形・多自由度は含みません。ζ≥1では振動する減衰固有振動数を表示しません。無減衰共振では有限振幅を出しません。
現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。
Find natural frequency, damping ratio and forced-response amplitude of one degree of freedom.
The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.
ωn = √(k/m), ζ = c/(2√(km)), X = F₀ / √((k − mω²)² + (cω)²)
Linear single-degree-of-freedom spring and viscous damping, with steady sinusoidal force excitation. Base excitation, impacts, nonlinear and multi-degree-of-freedom effects are excluded. No oscillatory damped frequency is shown for ζ≥1, and no finite response amplitude is reported at undamped resonance.
The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.
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.
