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Abstrak :
The purpose of this paper is to explain the algorithm solution for system equation which has non linier form in its parameter, especially in system equation of seemingly unrelated regression. For example, the economic model which is used in this paper is taken from disertation of Ekananda (2003) with its topic of the uncertainty of exchange rates volatility on manufacture commodity export in Indonesia. Particularly, this paper will discuss the model formation by inserting poissons probability function, which cause the non linier form. For the next application, this method can be used for all non linier form especially the non linier form on its parameter. This paper will discuss the utilization of trade standard equation which is developed become non linier system equation of trade by inserting the element of poisons probability, the dynamics of equation and the simultaneous equation.

Abstrak :
Dalam sebuah permodelan dinamik terhadap struktur, terutama untuk strukturstruktur yang bersifat masif (memiliki ukuran dan massa yang besar), permodelan pada tanah tidak bisa disamakan dengan permodelan untuk gaya statik, adanya efek pemantulan gelombang dari batasan yang dibutuhkan untuk analisa pada model statik membuat perlu permodelan yang berbeda untuk pembebanan dinamik. Pada kasus dinamik tanah tidak diberikan lagi batasan seperti pada kasus statik, sehingga permodelan tanah secara half-space, merupakan permodelan yang paling mendekati sifat tanah yang sebenarnya. Dengan mempergunakan prinsip Rigid Body Constraint dan transformasi integral, maka kita akan dapat membuat persamaan dinamik yang memodelkan interaksi dari struktur dan tanah. Dari persamaan dinamik tersebut, maka respon dinamik dari tanah dan struktur dapat kita ketahui.

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In a dynamic modelization for a structure, especially for massive structures (structures with large size and mass), the modelization condition for soil cannot be considered as same as static condition, the wave reflection effect from the boundary that is needed in a static condition makes the need for a different modelization for soil in a dynamic condition. In a dynamic case, the soil doesn't have any boundary like in the static condition, so the modelization of soil as a half-space is the most appropriate modelization. Using the rigid body constraint principle and integral transform method, we can create a dynamic equation that models the interaction between soil and structure. From this dynamic equation, we can know the dynamic respond from the soil and structure.