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Domanda
Qual è la differenza tra analisi statica e dinamica della struttura?
Risposte
01/25/2022
Jobey Engels
The nature of loading governs the kind of analysis to be performed on the structure. The loads are divided into two basic categories
Static Loads are the loads which varies very slowly (the acceleration of load is very very less than the natural frequency of the structure)
Dynamic Loads are the loads which changes with time fairly quickly in comparison to the structure's natural frequency.
The distinction is made between the dynamic and the static analysis on the basis of whether the applied action has enough acceleration ([math]X¨[/math]) in comparison to the structure's natural frequency (√[math]K/m[/math]). L'equazione di equilibrio per una struttura sotto carico statico è:
KX=F
dove
X è lo spostamento.
A differenza del carico statico che rimane costante o agisce in modo tale che non ci sia una variazione sostanziale della risposta strutturale nel tempo, il carico dinamico varia sostanzialmente nel tempo, quindi la risposta strutturale deve essere calcolata in ogni istante. L'equazione di equilibrio per una struttura sotto carico dinamico è:
[math]mX¨(t)+cX˙(t)+kX(t)=F(t)[/math]
dove
[math]X¨[/math] è l'accelerazione (la derivata doppia dello spostamento) e
[math]X˙[/math] è la velocità (la derivata singola dello spostamento).
Spero che questo risponda alla tua domanda
03/28/2022
Colas
The structural analysis focuses on the changes occurring in the behavior of a physical structure under observation when provided with a force or in case of structures,load.Now if this load is quasi(very slow),the inertia forces from the basis of newton's first law of motion can be neglected and the analysis becomes static.The static loads are very slow on the time rate graph.Static structure analysis methods are:
non-linear static analysis
Linear static analysis
Opposite to this,if the force or load applied have a high rate of change of velocity during the process then it comes under DYNAMIC analysis,the cause and effect portion comes in to play here.The system under consideration is observed for the development occurring during a course of time and then analyzing the cause of those changes. A dynamic analysis is also related to the inertia forces developed by a structure when it is excited by means of dynamic loads applied suddenly (e.g., wind blasts, explosion, earthquake).
Now dynamic loads are always applied as a function of time or frequency and these time or frequency-varying load application induces time or frequency-varying response (displacements, velocities, accelerations, forces, and stresses). These time or frequency-varying characteristics make dynamic analysis more complicated and more realistic than static analysis.Dynamic structure analysis method are :
Non-linear time history analysis
Non-linear static analysis
Linear elastic time history analysis
Modal superposition
Linear static analysis
All the loads are considered dynamic in nature as at some point of time they were absent and that includes the self weight of the structure also.
L'azione applicata o l'accelerazione della forza viene confrontata con la frequenza naturale della struttura per trovare se l'analisi è di natura statica o dinamica.
Ilgiardino.wiki
The nature of loading governs the kind of analysis to be performed on the structure. The loads are divided into two basic categories
The distinction is made between the dynamic and the static analysis on the basis of whether the applied action has enough acceleration ([math]X¨[/math]) in comparison to the structure's natural frequency (√[math]K/m[/math]). L'equazione di equilibrio per una struttura sotto carico statico è:
KX=F
dove
X è lo spostamento.
A differenza del carico statico che rimane costante o agisce in modo tale che non ci sia una variazione sostanziale della risposta strutturale nel tempo, il carico dinamico varia sostanzialmente nel tempo, quindi la risposta strutturale deve essere calcolata in ogni istante. L'equazione di equilibrio per una struttura sotto carico dinamico è:
[math]mX¨(t)+cX˙(t)+kX(t)=F(t)[/math]
dove
[math]X¨[/math] è l'accelerazione (la derivata doppia dello spostamento) e
[math]X˙[/math] è la velocità (la derivata singola dello spostamento).
Spero che questo risponda alla tua domanda
The structural analysis focuses on the changes occurring in the behavior of a physical structure under observation when provided with a force or in case of structures,load.Now if this load is quasi(very slow),the inertia forces from the basis of newton's first law of motion can be neglected and the analysis becomes static.The static loads are very slow on the time rate graph.Static structure analysis methods are:
Opposite to this,if the force or load applied have a high rate of change of velocity during the process then it comes under DYNAMIC analysis,the cause and effect portion comes in to play here.The system under consideration is observed for the development occurring during a course of time and then analyzing the cause of those changes. A dynamic analysis is also related to the inertia forces developed by a structure when it is excited by means of dynamic loads applied suddenly (e.g., wind blasts, explosion, earthquake).
Now dynamic loads are always applied as a function of time or frequency and these time or frequency-varying load application induces time or frequency-varying response (displacements, velocities, accelerations, forces, and stresses). These time or frequency-varying characteristics make dynamic analysis more complicated and more realistic than static analysis.Dynamic structure analysis method are :
All the loads are considered dynamic in nature as at some point of time they were absent and that includes the self weight of the structure also.
L'azione applicata o l'accelerazione della forza viene confrontata con la frequenza naturale della struttura per trovare se l'analisi è di natura statica o dinamica.