Application of stochastic point processes in mechanics

  title={Application of stochastic point processes in mechanics},
  author={Radosław. Iwankiewicz},
Stochastic point processes are the mathematical tools relevant to all problems where the phenomena have the nature of a random train of events. Applications may be found in structural dynamics where some stochastic excitations may be adequately idealized as random trains of impulses or general pulses. An example of application in mechanics of materials is the stochastic model of the grain growth processes in polycrystalline nanomaterials. Based on the stochastic differential equations… 
3 Citations
A scheme for study of linear stochastic time-delay dynamical systems under continuous and impulsive fluctuations
The technique combining the classic method of steps and a scheme of state space extension is used to derive a sequence of jump-diffusion stochastic differential equations (DEs) without delays satisfied by extended state vectors and then a chain of ordinary DEs’ systems governing the first moment functions.
Storage Life Evaluation of Quartz Accelerometer Servo Circuit Based on Drift Brownian Movement
The research object of this paper was the servo circuit of quartz accelerometer. The evaluation method based on drift Brownian movement was proposed to evaluate the storage reliability and storage
Research on pricing of deposit insurance system
  • H. F. Zhang, D. Ren
  • Economics
    2009 16th International Conference on Industrial Engineering and Engineering Management
  • 2009
The Deposit Insurance System is an important and fundamental system in finance under the condition of market economy. The article, taking foreign experience into consideration and by the means of


Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition
The Handbook of Stochastic Methods covers systematically and in simple language the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods,
Statistical Model of Grain Growth in Polycrystalline Nanomaterials
Nanomaterials, due to their fine grain sizes, exhibit enhanced mechanical properties. However, their low stability at also relatively low temperatures might limit their future applications. In the