# Random vibrations assignment help in the UK, USA, Canada, and Australia

The exhaustive list of topics in Random Vibrations  in which we provide Help with Homework Assignment and Help with Project is as follows:

• Random vibrations & Failure Analysis.
• Random vibration & probabilistic modeling.
• Axioms of probability theory:
• Probability space.
• Random variables.
• Probability distributions and density functions of random variables.
• Joint and marginal distribuition.
• Density functions.
• Functions of random variables.
• Expectations and moments of random variables.
• Baye's theorem.
• Conditional random variables.
• Conditional expectations.
• Characteristic functions.
• Moment generating functions.
• Cumulants.
• Relationship between joint probability density functions and characteristic functions.
• Numerical issues.
• Covariance and independence.
• Sequences of random variables.
• Stochastic convergence.
• Limit theorems.
• Concepts of stochastic processes, probability distributions, moments, correlation and covariance functions.
• The power spectral density function.
• Stationarity and non-stationarity of stochastic processes, ergodicity of a stochastic process.
• Limits of a stochastic process.
• Continuity & differentiability.
• Stochastic derivatives and integrals.
• Special random processes -1: Gaussian random processes.
• Special random processes -2: Poisson processes and random pulses.
• Special random processes -3: Random walk & wiener processes.
• Special random processes -4: Markov processes.
• The Fokker-Planck-Kolmogorov equation.
• Stochastic calculus.
• Numerical simulation of random processes.
• Deterministic dynamics and impulse response functions of systems.
• System response to random excitations.
• Response to stationary & weakly stationary excitations.
• Delta-correlated excitations.
• Response to Gaussian excitations.
• Non-stationary excitations.
• Joint behavior of the time deriative and its response & Markov vector approach.
• Linear dynamics and harmonic transfer functions.
• Generalization to multi degree-of-freedom systems.
• State space formulation of equations of motion.
• The Fokker-Planck equation for linear systems.
• The Fokker-Planck equation for sdof systems.
• The Fokker-Planck equation for mdof systems.
• Methods for Numerical solutions for the FPK equation: finite difference.
• Methods for Numerical solutions for the FPK equation: finite element method.
• Numerical solutions for the FPK equation: Path integral method.
• Method of equivalent statistical linearization.
• State space moment and cumulant equations.
• Level crossings and the first passage time.
• Probability distribution of maxima & failure probability.
• Peak distributions & their applications.
• Envelope crossings and their distributions.
• Generralization to non-Gaussian processes
• Numerical evaluation of Rice's formula.