Abstract: The vibration of a constrained dynamical system, consisting of an Euler-Bernoulli beam with homogeneous boundary conditions, supported in its interior by arbitrarily located pin supports and ...

Abstract: A new and general method for determining the exact undamped natural frequencies and natural modes of vibration, the orthogonality relation for the natural modes, and the response to arbitrary ...

Abstract: The problem of free vibration of a complex system with a natural frequency identical to that of one of its subsystems is further discussed. Such eigenvibrations need special consideration in ...

Abstract: The free vibrations of a complex system with a natural frequency identical to that of one of its subsystems is discussed. Such eigenvibrations need special consideration in many modal synthesis ...

Abstract: The problem of calculating the dynamic response of a one-dimensional distributed parameter system excited by an oscillator traversing the system with an arbitrarily varying speed is investigated. ...

Abstract: The problem of calculating the response of a general class of nonconservative linear distributed parameter systems excited by a moving concentrated load is investigated. A method of solution ...

Abstract: A method to determine statistical moments of time to first passage of a simple oscillator, incorporating the modified Bouc hysteresis model, has been developed. A generalized Pontriagin‐Vitt equation is formulated from ...