Exact frequency and mode shape formulae for studying vibration and stability of Timoshenko beam system

THE EXACT SOLUTIONS FOR THE NATURAL FREQ

THE EXACT SOLUTIONS FOR THE NATURAL FREQUENCIES AND MODE SHAPES OF NON-UNIFORM BEAMS WITH MULTIPLE SPRING–MASS SYSTEMS

✍ D.-W. CHEN; J.-S. WU 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 337 KB

For a beam carrying n spring}mass systems, if the left side and right side of each attaching point and each end of the beam are regarded as nodes, then considering the compatibility of deformations and the equilibrium of forces between the two adjacent beam segments at each attaching point and incor