Judul: Perancangan Pompa Hidram Penyalur Air Embung SDGs  Sebagai Penyedia Air Lahan Penelitian Cikabayan
Abstrak: Kebutuhan air irigasi pada lahan pertanian yang elevasinya lebih tinggi dari pada sumber air pasti membutuhkan pompa sebagai tenaga pengalirannya, salah satu pompa yang hemat energi adalah pompa hidram yang mengubah energi jatuh air menjadi energi penggerak pompa. Bangunan pelimpas embung SDGs memiilki tinggi jatuh air yang dapat dimanfaatkan pompa hidram untuk mengaliri lahan pertanian Cikabayan, sehingga diperlukan rancangan pengaliran air dari saluran pelimpas menuju lahan pertanian cikabayan dengan memanfaatkan pompa hidram. Hasilnya didapatkan kebutuhan air irigasi adalah 1,08 lt/det dan dipilih pompa hidram dengan debit 1,04 lt/det, debit pemompaan tidak berbeda jauh dari kebutuhan air irigasi dan dapat bertambah karena rasio tinggi jatuh dan angkat yang direncanakan masih lebih kecil dari pada tabel estimasi debit pemompaan. Perhitungan nilai head loss dari statis dan dinamis dari pompa hidram menuju reservoir terdapat head loss total sebesar 15,91 m sehingga lebih kecil dari pada rencana pemompaan yaitu 25 m dan pompa hidram dapat dijalan kan sesuai kebutuhan air lahan pertanian Cikabayan, The need for irrigation water on agricultural land whose elevation is higher than the water source definitely requires a pump as a drainage power, one of the energy-efficient pumps is a hydraulic pump that converts the energy of falling water into pump driving energy.. The SDGs reservoir spillway building has a high water fall that can be used by hydraulic pumps to drain Cikabayan agricultural land, so a design is needed to drain water from the spillway to Cikabayan agricultural land by utilizing a hydraulic pump. The result was that the irrigation water requirement was 1.08 lt/sec and a hydraulic pump with a discharge of 1.04 lt / sec was selected, the pumping discharge did not differ much from the irrigation water requirement and could increase because the ratio of falling height and planned lifting was still smaller than the pumping discharge estimation table. The calculation of the head loss value from static and dynamic from the hydraulic pump to the reservoir has a total head loss of 15.91 m so that it is smaller than the pumping plan, which is 25 m and the hydraulic pump can be run according to the water needs of Cikabayan agricultural land
Keyword: head loss, irrigation, hydraulic pump

Judul: Application of the Hydram Pump on Cihideung River as a Water Supply System for Leuwikopo Experimental Field Bogor Regency
Abstrak: Pemenuhan kebutuhan air untuk kebun percobaan sangat diperlukan sebagai upaya peningkatan hasil yang diharapkan. Selama ini kebutuhan air di lahan Leuwikopo hanya dipenuhi dari air hujan dan air tanah, sedangkan Sungai Cihideung yang dekat belum dimanfaatkan dengan baik. Penelitian ini bertujuan untuk mengetahui debit suplai, menghasilkan rancangan pipa transmisi, dan desain instalasi penerapan pompa hidram. Penelitian dimulai dengan mengukur beda elevasi dari rencana titik pengambilan, titik pompa hidram, dan titik reservoir. Selanjutnya dilakukan perhitungan debit suplai dengan metode Iversen, penentuan dimensi pipa suplai berdasarkan metode Calvert, perancangan perpipaan dengan perhitungan head loss, dan penentuan spesifikasi pompa hidram di pasaran. Hasil penelitian menunjukkan debit penggerak pompa hidram sebesar 8,22 l/detik. Jaringan perpipaan pada pipa suplai sepanjang 28 m dengan diameter 4 in berbahan PVC dan pipa penghantar sepanjang 140 m dengan diameter 2 in berbahan HDPE. Rancangan desain instalasi pada intake menggunakan drum berkapasitas 120 l yang diberi lubang. Pompa hidram yang digunakan adalah pompa merek Sanan tipe Flap 4 dengan estimasi debit pemompaan sebesar 0,341 l/detik atau 29.462 liter/hari., Meeting the water needs for experimental field is very necessary as an effort to increase the expected yields. So far, the fulfillment of water needs in the Leuwikopo field is only from rainwater and ground water, while the Cihideung River which is close has not been used properly. This study aimed to determine the supply flowrate, produce a transmission pipe design, and design the installation of a hydraulic ram pump. The study begined by measuring the elevation difference from the planned intake point, hydram pump point, and reservoir point. Furthermore, calculating the supply discharge using the Iversen method, determining the supply pipe based on the Calvert method, designing a piping network with head loss calculations, and determining the hydram pump specification in the market. The results showed that the flowrate of the hydraulic ram pump was 8,22 l/second. The piping network in the supply pipes was 28 m long with a diameter of 4 in and was made of PVC, while the delivery pipes with 140 m long and 2 in diameter was made of HDPE. The installation design at the intake was designed using a drum with capacity of 120 l and had a hole. The hydraulic ram pump used was a Sanan pump type Flap 4 with an estimated pumping discharge of 0,341 l/second or 29.462 l/day.
Keyword: debit suplai, desain, pompa hidram

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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